Theorems · Inductive type · ring theory
Invertible
{α : Type u} → [Mul α] → [One α] → α → Type uInvertible a gives a two-sided multiplicative inverse of a.
- Defined in
- Mathlib.Algebra.Group.Invertible.Defs
- Cited by
- 549 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 3 definitions · uses no axioms
Around this declaration
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Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by677
Results whose statement or proof uses this declaration.
- Invertible.invOfstatement and proof · cited by 268
- midpointstatement and proof · cited by 123
- invOf_eq_invstatement and proof · cited by 42
- QuadraticMap.associatedstatement and proof · cited by 34
- QuadraticForm.tmulstatement and proof · cited by 33
- QuadraticMap.associatedHomstatement and proof · cited by 29
- mul_invOf_selfstatement and proof · cited by 28
- isUnit_of_invertiblestatement and proof · cited by 26
- xInTermsOfWstatement and proof · cited by 21
- invOf_mul_selfstatement and proof · cited by 20
- Invertible.congrstatement and proof · cited by 18
- QuadraticForm.baseChangestatement and proof · cited by 17
Showing the 200 most cited of 677.