GroupLawArgs

Mathlib.Algebra.Group.Basic

Packages

Module

Theorem

750

Declarations

1016

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Statement

forall (G : Sort u), forall (one : G), forall (mul : forall (a : G), forall (b : G), G), forall (inv : forall (a : G), G), Prop

Proof term

fun G => fun one => fun mul => fun inv => forall (P : Prop), forall (mk : forall (mul_assoc_law : forall (a : G), forall (b : G), forall (c : G), @Eq.{u} G (mul (mul a b) c) (mul a (mul b c))), forall (one_mul_law : forall (a : G), @Eq.{u} G (mul one a) a), forall (mul_one_law : forall (a : G), @Eq.{u} G (mul a one) a), forall (inv_mul_law : forall (a : G), @Eq.{u} G (mul (inv a) a) one), forall (mul_inv_law : forall (a : G), @Eq.{u} G (mul a (inv a)) one), P), P