Theorems · Theorem · ring theory
IsSelfAdjoint.ringInverse
∀ {A : Type u_2} {a : A} [inst : Semiring A] [inst_1 : StarRing A], IsSelfAdjoint a → IsSelfAdjoint (Ring.inverse a)- Defined in
- Mathlib.Algebra.Star.SelfAdjoint
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- StarRingstatement and proof · cited by 1,686
- IsSelfAdjointstatement and proof · cited by 545
- Ring.inversestatement and proof · cited by 160
- IsSelfAdjoint.star_eqproof · cited by 58
- isSelfAdjoint_iffproof · cited by 6
- Ring.inverse_starproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- isSelfAdjoint_ringInverse_iffproof · cited by 0