Theorems · Theorem · ring theory
StarAlgEquiv.apply_symm_apply
∀ {R : Type u_2} {A : Type u_3} {B : Type u_4} [inst : Add A] [inst_1 : Add B] [inst_2 : Mul A] [inst_3 : Mul B]
[inst_4 : SMul R A] [inst_5 : SMul R B] [inst_6 : Star A] [inst_7 : Star B] (e : A ≃⋆ₐ[R] B) (x : B), e (e.symm x) = x- Defined in
- Mathlib.Algebra.Star.StarAlgHom
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Starstatement and proof · cited by 496
- StarAlgEquivstatement and proof · cited by 132
- StarAlgEquiv.symmstatement · cited by 49
- StarAlgEquiv.toStarRingEquivproof · cited by 14
- StarRingEquiv.apply_symm_applyproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- RCLike.nonUnitalContinuousFunctionalCalculusproof · cited by 2