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β↘↙ test

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rhiannon morris 2023-01-08 21:46:26 +01:00
parent c45a963ba0
commit d8df40ab39
1 changed files with 5 additions and 0 deletions
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5
tests/Tests/Equal.idr
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@ -209,6 +209,11 @@ tests = "equality & subtyping" :- [
((Lam "x" (TUsed (BVT 0)) :# (Arr One (FT "A") (FT "A")))
:@ FT "a")
(F "a"),
testEq "(λ g ⇒ [g [x]] ∷ ⋯)) [f] ≡ (λ y ⇒ [f [y]] ∷ ⋯) [x] (β↘↙)" $
let a = FT "A"; a2a = (Arr One a a) in
equalE
((Lam "g" (TUsed (E (BV 0 :@ FT "x"))) :# Arr One a2a a) :@ FT "f")
((Lam "y" (TUsed (E (F "f" :@ BVT 0))) :# a2a) :@ FT "x"),
testEq "(λ x ⇒ [x] ∷ A ⊸ A) a <: a" $
subE
((Lam "x" (TUsed (BVT 0)) :# (Arr One (FT "A") (FT "A")))