Theorems · Theorem · group theory
Group.inv_mul_cancel
∀ {G : Type u} [self : Group G] (a : G), a⁻¹ * a = 1- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 4 from the axioms · 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.
- Groupstatement and proof · cited by 6,238
- Monoid.toOnestatement · cited by 34
Cited by1
Results whose statement or proof uses this declaration.
- inv_mul_cancelproof · cited by 107