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[ funext ] Add a proof for funext variants with the other quantities

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Denis Buzdalov 2024-05-16 20:37:37 +03:00 committed by G. Allais
parent 2a3f0311f2
commit cf68e995c4
2 changed files with 11 additions and 0 deletions
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3
CHANGELOG_NEXT.md
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@ -127,6 +127,9 @@ This CHANGELOG describes the merged but unreleased changes. Please see [CHANGELO
* Removed need for the runtime value of the implicit argument in `succNotLTEpred`.
* Added `funExt0` and `funExt1`, functions analogous to `funExt` but for functions
with quantities 0 and 1 respectively.
#### Contrib
* `Data.List.Lazy` was moved from `contrib` to `base`.

8
libs/base/Control/Function/FunExt.idr
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@ -10,3 +10,11 @@ module Control.Function.FunExt
public export
interface FunExt where
funExt : {0 b : a -> Type} -> {0 f, g : (x : a) -> b x} -> ((x : a) -> f x = g x) -> f = g
export
funExt0 : FunExt => {0 b : a -> Type} -> {0 f, g : (0 x : a) -> b x} -> ((x : a) -> f x = g x) -> f = g
funExt0 prf = rewrite funExt {f = \x => f x} {g = \y => g y} prf in Refl
export
funExt1 : FunExt => {0 b : a -> Type} -> {0 f, g : (1 x : a) -> b x} -> ((x : a) -> f x = g x) -> f = g
funExt1 prf = rewrite funExt {f = \x => f x} {g = \y => g y} prf in Refl