42 lines
1.5 KiB
Idris
42 lines
1.5 KiB
Idris
module Quox.Thin.Coprod
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import public Quox.Thin.Base
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import public Quox.Thin.Comp
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import public Quox.Thin.View
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import public Quox.Thin.List
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import public Quox.Thin.Cover
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import Data.DPair
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%default total
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public export
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record Coprod2 (ope1 : OPE m1 n mask1) (ope2 : OPE m2 n mask2) where
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constructor MkCoprod2
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{sizeMask : Nat}
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{leftMask : Nat}
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{rightMask : Nat}
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{0 sub : OPE size n sizeMask}
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{0 left : OPE m1 size leftMask}
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{0 right : OPE m2 size rightMask}
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0 leftComp : Comp sub left ope1
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0 rightComp : Comp sub right ope2
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{auto 0 isCover : Cover [left, right]}
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%name Coprod2 cop
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export
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coprod2 : {n, mask1, mask2 : Nat} ->
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(0 ope1 : OPE m1 n mask1) -> (0 ope2 : OPE m2 n mask2) ->
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Coprod2 ope1 ope2
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coprod2 ope1 ope2 with (view ope1) | (view ope2)
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coprod2 Stop Stop | StopV | StopV = MkCoprod2 StopZ StopZ
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coprod2 (Drop ope1 Refl) (Drop ope2 Refl) | DropV _ ope1 | DropV _ ope2 =
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let MkCoprod2 l r = coprod2 ope1 ope2 in MkCoprod2 (DropZ l) (DropZ r)
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coprod2 (Drop ope1 Refl) (Keep ope2 Refl) | DropV _ ope1 | KeepV _ ope2 =
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let MkCoprod2 l r = coprod2 ope1 ope2 in MkCoprod2 (KDZ l) (KeepZ r)
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coprod2 (Keep ope1 Refl) (Drop ope2 Refl) | KeepV _ ope1 | DropV _ ope2 =
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let MkCoprod2 l r = coprod2 ope1 ope2 in MkCoprod2 (KeepZ l) (KDZ r)
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coprod2 (Keep ope1 Refl) (Keep ope2 Refl) | KeepV _ ope1 | KeepV _ ope2 =
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let MkCoprod2 l r = coprod2 ope1 ope2 in MkCoprod2 (KeepZ l) (KeepZ r)
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-- [todo] n-ary coprod
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