always vsep scheme lets, otherwise they are unreadable
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29 changed files with 474 additions and 301 deletions
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@ -9,18 +9,17 @@ import Quox.EffExtra
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import AstExtra
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defGlobals : Definitions
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defGlobals = fromList
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[("A", ^mkPostulate GZero (^TYPE 0)),
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("B", ^mkPostulate GZero (^TYPE 0)),
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("a", ^mkPostulate GAny (^FT "A" 0)),
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("a'", ^mkPostulate GAny (^FT "A" 0)),
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("b", ^mkPostulate GAny (^FT "B" 0)),
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("f", ^mkPostulate GAny (^Arr One (^FT "A" 0) (^FT "A" 0))),
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("id", ^mkDef GAny (^Arr One (^FT "A" 0) (^FT "A" 0)) (^LamY "x" (^BVT 0))),
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("eq-AB", ^mkPostulate GZero (^Eq0 (^TYPE 0) (^FT "A" 0) (^FT "B" 0))),
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("two", ^mkDef GAny (^Nat) (^Succ (^Succ (^Zero))))]
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[("A", mkPostulate GZero (^TYPE 0)),
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("B", mkPostulate GZero (^TYPE 0)),
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("a", mkPostulate GAny (^FT "A" 0)),
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("a'", mkPostulate GAny (^FT "A" 0)),
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("b", mkPostulate GAny (^FT "B" 0)),
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("f", mkPostulate GAny (^Arr One (^FT "A" 0) (^FT "A" 0))),
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("id", mkDef GAny (^Arr One (^FT "A" 0) (^FT "A" 0)) (^LamY "x" (^BVT 0))),
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("eq-AB", mkPostulate GZero (^Eq0 (^TYPE 0) (^FT "A" 0) (^FT "B" 0))),
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("two", mkDef GAny (^Nat) (^Succ (^Succ (^Zero))))]
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parameters (label : String) (act : Eff Equal ())
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{default defGlobals globals : Definitions}
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@ -156,7 +155,7 @@ tests = "equality & subtyping" :- [
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let tm = ^Eq0 (^TYPE 1) (^TYPE 0) (^TYPE 0) in
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equalT empty (^TYPE 2) tm tm,
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testEq "A ≔ ★₁ ⊢ (★₀ ≡ ★₀ : ★₁) = (★₀ ≡ ★₀ : A)"
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{globals = fromList [("A", ^mkDef GZero (^TYPE 2) (^TYPE 1))]} $
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{globals = fromList [("A", mkDef GZero (^TYPE 2) (^TYPE 1))]} $
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equalT empty (^TYPE 2)
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(^Eq0 (^TYPE 1) (^TYPE 0) (^TYPE 0))
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(^Eq0 (^FT "A" 0) (^TYPE 0) (^TYPE 0)),
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@ -176,7 +175,7 @@ tests = "equality & subtyping" :- [
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testEq "p : (a ≡ a' : A), q : (a ≡ a' : A) ∥ ⊢ p = q (free)"
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{globals =
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let def = ^mkPostulate GZero
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let def = mkPostulate GZero
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(^Eq0 (^FT "A" 0) (^FT "a" 0) (^FT "a'" 0))
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in defGlobals `mergeLeft` fromList [("p", def), ("q", def)]} $
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equalE empty (^F "p" 0) (^F "q" 0),
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@ -195,32 +194,32 @@ tests = "equality & subtyping" :- [
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testEq "E ≔ a ≡ a' : A, EE ≔ E ∥ x : EE, y : EE ⊢ x = y"
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{globals = defGlobals `mergeLeft` fromList
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[("E", ^mkDef GZero (^TYPE 0)
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[("E", mkDef GZero (^TYPE 0)
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(^Eq0 (^FT "A" 0) (^FT "a" 0) (^FT "a'" 0))),
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("EE", ^mkDef GZero (^TYPE 0) (^FT "E" 0))]} $
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("EE", mkDef GZero (^TYPE 0) (^FT "E" 0))]} $
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equalE
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(extendTyN [< (Any, "x", ^FT "EE" 0), (Any, "y", ^FT "EE" 0)] empty)
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(^BV 0) (^BV 1),
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testEq "E ≔ a ≡ a' : A, EE ≔ E ∥ x : EE, y : E ⊢ x = y"
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{globals = defGlobals `mergeLeft` fromList
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[("E", ^mkDef GZero (^TYPE 0)
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[("E", mkDef GZero (^TYPE 0)
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(^Eq0 (^FT "A" 0) (^FT "a" 0) (^FT "a'" 0))),
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("EE", ^mkDef GZero (^TYPE 0) (^FT "E" 0))]} $
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("EE", mkDef GZero (^TYPE 0) (^FT "E" 0))]} $
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equalE
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(extendTyN [< (Any, "x", ^FT "EE" 0), (Any, "y", ^FT "E" 0)] empty)
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(^BV 0) (^BV 1),
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testEq "E ≔ a ≡ a' : A ∥ x : E, y : E ⊢ x = y"
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{globals = defGlobals `mergeLeft` fromList
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[("E", ^mkDef GZero (^TYPE 0)
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[("E", mkDef GZero (^TYPE 0)
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(^Eq0 (^FT "A" 0) (^FT "a" 0) (^FT "a'" 0)))]} $
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equalE (extendTyN [< (Any, "x", ^FT "E" 0), (Any, "y", ^FT "E" 0)] empty)
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(^BV 0) (^BV 1),
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testEq "E ≔ a ≡ a' : A ∥ x : (E×E), y : (E×E) ⊢ x = y"
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{globals = defGlobals `mergeLeft` fromList
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[("E", ^mkDef GZero (^TYPE 0)
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[("E", mkDef GZero (^TYPE 0)
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(^Eq0 (^FT "A" 0) (^FT "a" 0) (^FT "a'" 0)))]} $
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let ty : forall n. Term 0 n := ^Sig (^FT "E" 0) (SN $ ^FT "E" 0) in
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equalE (extendTyN [< (Any, "x", ty), (Any, "y", ty)] empty)
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@ -228,9 +227,9 @@ tests = "equality & subtyping" :- [
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testEq "E ≔ a ≡ a' : A, W ≔ E × E ∥ x : W, y : E×E ⊢ x = y"
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{globals = defGlobals `mergeLeft` fromList
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[("E", ^mkDef GZero (^TYPE 0)
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[("E", mkDef GZero (^TYPE 0)
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(^Eq0 (^FT "A" 0) (^FT "a" 0) (^FT "a'" 0))),
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("W", ^mkDef GZero (^TYPE 0) (^And (^FT "E" 0) (^FT "E" 0)))]} $
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("W", mkDef GZero (^TYPE 0) (^And (^FT "E" 0) (^FT "E" 0)))]} $
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equalE
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(extendTyN [< (Any, "x", ^FT "W" 0),
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(Any, "y", ^And (^FT "E" 0) (^FT "E" 0))] empty)
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@ -280,11 +279,11 @@ tests = "equality & subtyping" :- [
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"free var" :-
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let au_bu = fromList
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[("A", ^mkDef GAny (^TYPE 1) (^TYPE 0)),
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("B", ^mkDef GAny (^TYPE 1) (^TYPE 0))]
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[("A", mkDef GAny (^TYPE 1) (^TYPE 0)),
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("B", mkDef GAny (^TYPE 1) (^TYPE 0))]
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au_ba = fromList
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[("A", ^mkDef GAny (^TYPE 1) (^TYPE 0)),
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("B", ^mkDef GAny (^TYPE 1) (^FT "A" 0))]
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[("A", mkDef GAny (^TYPE 1) (^TYPE 0)),
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("B", mkDef GAny (^TYPE 1) (^FT "A" 0))]
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in [
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testEq "A = A" $
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equalE empty (^F "A" 0) (^F "A" 0),
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@ -305,13 +304,13 @@ tests = "equality & subtyping" :- [
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testNeq "A ≮: B" $
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subE empty (^F "A" 0) (^F "B" 0),
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testEq "A : ★₃ ≔ ★₀, B : ★₃ ≔ ★₂ ⊢ A <: B"
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{globals = fromList [("A", ^mkDef GAny (^TYPE 3) (^TYPE 0)),
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("B", ^mkDef GAny (^TYPE 3) (^TYPE 2))]} $
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{globals = fromList [("A", mkDef GAny (^TYPE 3) (^TYPE 0)),
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("B", mkDef GAny (^TYPE 3) (^TYPE 2))]} $
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subE empty (^F "A" 0) (^F "B" 0),
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note "(A and B in different universes)",
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testEq "A : ★₁ ≔ ★₀, B : ★₃ ≔ ★₂ ⊢ A <: B"
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{globals = fromList [("A", ^mkDef GAny (^TYPE 1) (^TYPE 0)),
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("B", ^mkDef GAny (^TYPE 3) (^TYPE 2))]} $
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{globals = fromList [("A", mkDef GAny (^TYPE 1) (^TYPE 0)),
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("B", mkDef GAny (^TYPE 3) (^TYPE 2))]} $
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subE empty (^F "A" 0) (^F "B" 0),
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testEq "0=1 ⊢ A <: B" $
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subE empty01 (^F "A" 0) (^F "B" 0)
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@ -85,7 +85,7 @@ tests = "PTerm → Term" :- [
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],
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"terms" :-
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let defs = fromList [("f", mkDef GAny (Nat noLoc) (Zero noLoc) noLoc)]
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let defs = fromList [("f", mkDef GAny (^Nat) (^Zero))]
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-- doesn't have to be well typed yet, just well scoped
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fromPTerm = runFromParser {defs} .
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fromPTermWith [< "𝑖", "𝑗"] [< "A", "x", "y", "z"]
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@ -64,8 +64,8 @@ tests = "parser" :- [
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"names" :- [
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parsesAs (const qname) "x"
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(MakePName [<] "x"),
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parsesAs (const qname) "Data.String.length"
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(MakePName [< "Data", "String"] "length"),
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parsesAs (const qname) "Data.List.length"
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(MakePName [< "Data", "List"] "length"),
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parseFails (const qname) "_"
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],
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@ -73,10 +73,10 @@ tests = "whnf" :- [
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"definitions" :- [
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testWhnf "a (transparent)" empty
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{defs = fromList [("a", ^mkDef GZero (^TYPE 1) (^TYPE 0))]}
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{defs = fromList [("a", ^mkDef GZero (^TYPE 1) (^TYPE 0) Nothing False)]}
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(^F "a" 0) (^Ann (^TYPE 0) (^TYPE 1)),
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testNoStep "a (opaque)" empty
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{defs = fromList [("a", ^mkPostulate GZero (^TYPE 1))]}
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{defs = fromList [("a", ^mkPostulate GZero (^TYPE 1) Nothing False)]}
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(^F "a" 0)
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],
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@ -87,28 +87,28 @@ apps = foldl (\f, s => ^App f s)
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defGlobals : Definitions
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defGlobals = fromList
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[("A", ^mkPostulate GZero (^TYPE 0)),
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("B", ^mkPostulate GZero (^TYPE 0)),
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("C", ^mkPostulate GZero (^TYPE 1)),
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("D", ^mkPostulate GZero (^TYPE 1)),
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("P", ^mkPostulate GZero (^Arr Any (^FT "A" 0) (^TYPE 0))),
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("a", ^mkPostulate GAny (^FT "A" 0)),
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("a'", ^mkPostulate GAny (^FT "A" 0)),
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("b", ^mkPostulate GAny (^FT "B" 0)),
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("c", ^mkPostulate GAny (^FT "C" 0)),
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("d", ^mkPostulate GAny (^FT "D" 0)),
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("f", ^mkPostulate GAny (^Arr One (^FT "A" 0) (^FT "A" 0))),
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("fω", ^mkPostulate GAny (^Arr Any (^FT "A" 0) (^FT "A" 0))),
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("g", ^mkPostulate GAny (^Arr One (^FT "A" 0) (^FT "B" 0))),
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("f2", ^mkPostulate GAny
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[("A", mkPostulate GZero (^TYPE 0)),
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("B", mkPostulate GZero (^TYPE 0)),
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("C", mkPostulate GZero (^TYPE 1)),
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("D", mkPostulate GZero (^TYPE 1)),
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("P", mkPostulate GZero (^Arr Any (^FT "A" 0) (^TYPE 0))),
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("a", mkPostulate GAny (^FT "A" 0)),
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("a'", mkPostulate GAny (^FT "A" 0)),
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("b", mkPostulate GAny (^FT "B" 0)),
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("c", mkPostulate GAny (^FT "C" 0)),
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("d", mkPostulate GAny (^FT "D" 0)),
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("f", mkPostulate GAny (^Arr One (^FT "A" 0) (^FT "A" 0))),
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("fω", mkPostulate GAny (^Arr Any (^FT "A" 0) (^FT "A" 0))),
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("g", mkPostulate GAny (^Arr One (^FT "A" 0) (^FT "B" 0))),
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("f2", mkPostulate GAny
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(^Arr One (^FT "A" 0) (^Arr One (^FT "A" 0) (^FT "B" 0)))),
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("p", ^mkPostulate GAny
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("p", mkPostulate GAny
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(^PiY One "x" (^FT "A" 0) (E $ ^App (^F "P" 0) (^BVT 0)))),
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("q", ^mkPostulate GAny
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("q", mkPostulate GAny
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(^PiY One "x" (^FT "A" 0) (E $ ^App (^F "P" 0) (^BVT 0)))),
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("refl", ^mkDef GAny reflTy reflDef),
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("fst", ^mkDef GAny fstTy fstDef),
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("snd", ^mkDef GAny sndTy sndDef)]
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("refl", mkDef GAny reflTy reflDef),
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("fst", mkDef GAny fstTy fstDef),
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("snd", mkDef GAny sndTy sndDef)]
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parameters (label : String) (act : Lazy (Eff Test ()))
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{default defGlobals globals : Definitions}
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