Theorems · Theorem · ring theory
Ring.inverse_star
∀ {R : Type u} [inst : Semiring R] [inst_1 : StarRing R] (a : R), Ring.inverse (star a) = star (Ring.inverse a)- Defined in
- Mathlib.Algebra.Star.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Unitsproof · cited by 2,804
- Units.valproof · cited by 1,966
- StarRingstatement and proof · cited by 1,686
- IsUnitproof · cited by 1,602
- Star.starstatement and proof · cited by 1,082
- Ring.inversestatement and proof · cited by 160
- star_zeroproof · cited by 58
- Ring.inverse_non_unitproof · cited by 26
- Ring.inverse_unitproof · cited by 24
- isUnit_starproof · cited by 2
- Units.coe_starproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.conjTranspose_nonsing_invproof · cited by 5
- IsSelfAdjoint.ringInverseproof · cited by 1