Mathlib Map

Theorems · Theorem · group theory

mul_inv_cancel

∀ {G : Type u_1} [inst : Group G] (a : G), a * a⁻¹ = 1
Defined in
Mathlib.Algebra.Group.Defs
Cited by
128 results in Mathlib
Foundations
Depth 8 from the axioms, rests on 34 definitions · uses no axioms
Assumes
Group

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by130

Results whose statement or proof uses this declaration.