Theorems · Theorem · ring theory
StarAlgEquiv.symm_apply_eq
∀ {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} {y : A},
e.symm x = y ↔ x = e y- Defined in
- Mathlib.Algebra.Star.StarAlgHom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- RingEquiv.toEquivproof · cited by 101
- Equiv.symm_apply_eqproof · cited by 63
- StarAlgEquiv.symmstatement · cited by 49
- StarRingEquiv.toRingEquivproof · cited by 25
- StarAlgEquiv.toStarRingEquivproof · cited by 14
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