Theorems · Definition · ring theory
StarRingEquiv.symm
{A : Type u_1} →
{B : Type u_2} →
[inst : Add A] →
[inst_1 : Add B] →
[inst_2 : Mul A] → [inst_3 : Mul B] → [inst_4 : Star A] → [inst_5 : Star B] → (A ≃⋆+* B) → B ≃⋆+* AThe inverse of a star ring isomorphism is a star ring isomorphism.
- Defined in
- Mathlib.Algebra.Star.StarRingHom
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingEquivproof · cited by 1,147
- RingEquiv.symmproof · cited by 567
- Starstatement and proof · cited by 496
- StarRingEquivstatement and proof · cited by 40
- StarRingEquiv.toRingEquivproof · cited by 25
Cited by18
Results whose statement or proof uses this declaration.
- StarAlgEquiv.symmproof · cited by 49
- StarRingEquiv.symm_apply_applystatement · cited by 1
- StarRingEquiv.symm_symmstatement · cited by 1
- StarRingEquiv.apply_symm_applystatement · cited by 1
- StarRingEquiv.ofStarRingHom_symm_applystatement and proof · cited by 0
- StarRingEquiv.refl_symmstatement · cited by 0
- StarRingEquiv.rightInverse_symmstatement · cited by 0
- StarRingEquiv.symm_bijectivestatement and proof · cited by 0
- StarRingEquiv.symm_mkstatement · cited by 0
- StarRingEquiv.symm_trans_applystatement · cited by 0
- StarAlgEquiv.symm_mkstatement · cited by 0
- CentroidHom.starCenterIsoCentroid_symm_apply_coestatement · cited by 0