Back to NPA

Declaration

eq_congr_arg

Mathlib.Logic.EqReasoning

Packages

2

Module

63

Theorems

750

Declarations

1016

Untrusted sidecar

Source text and display overlays are presentation metadata. The signed certificate and checker result are the trusted evidence.

Statement

forall (A : Sort u), forall (B : Sort v), forall (f : forall (x : A), B), forall (x : A), forall (y : A), forall (h : @Eq.{u} A x y), @Eq.{v} B (f x) (f y)

Proof term

fun A => fun B => fun f => fun x => fun y => fun h => @Eq.rec.{u,0} A x (fun (b : A) => fun (hb : @Eq.{u} A x b) => @Eq.{v} B (f x) (f b)) (@Eq.refl.{v} B (f x)) y h

Constants