Theorems · Definition · ring theory
Invertible.invOf
{α : Type u} → {inst : Mul α} → {inst_1 : One α} → (a : α) → [self : Invertible a] → αThe inverse of an Invertible element
- Defined in
- Mathlib.Algebra.Group.Invertible.Defs
- Cited by
- 268 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 4 definitions · uses no axioms
- Assumes
- Invertible
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Invertiblestatement and proof · cited by 549
Cited by313
Results whose statement or proof uses this declaration.
- midpointproof · cited by 123
- invOf_eq_invstatement · cited by 42
- QuadraticMap.associatedHomproof · cited by 29
- mul_invOf_selfstatement · cited by 28
- xInTermsOfWproof · cited by 21
- invOf_mul_selfstatement · cited by 20
- Invertible.congrstatement · cited by 18
- mul_invOf_self'statement · cited by 16
- skewAdjointPartproof · cited by 15
- midpoint_commproof · cited by 14
- Ring.inverse_invertiblestatement · cited by 11
- Matrix.invOf_eq_nonsing_invstatement and proof · cited by 11
Showing the 200 most cited of 313.