Theorems · Definition · ring theory
StarMulEquiv.ofBijective
{A : Type u_2} →
{B : Type u_3} →
[inst : Monoid A] →
[inst_1 : Monoid B] → [inst_2 : Star A] → [inst_3 : Star B] → (f : A →⋆* B) → Function.Bijective ⇑f → A ≃⋆* BPromote a bijective star monoid homomorphism to a star monoid equivalence.
- Defined in
- Mathlib.Algebra.Star.MonoidHom
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Monoidstatement and proof · cited by 3,887
- MulEquivproof · cited by 1,142
- Function.Bijectivestatement and proof · cited by 863
- Starstatement and proof · cited by 496
- Equiv.invFunproof · cited by 163
- MulEquiv.toEquivproof · cited by 126
- StarMulEquivstatement · cited by 36
- StarMonoidHomstatement and proof · cited by 35
- MulEquiv.ofBijectiveproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- StarMulEquiv.coe_ofBijectivestatement · cited by 0
- StarMulEquiv.ofBijective_applystatement · cited by 0