Theorems · Theorem · commutative algebra
Algebra.IsStandardOpenImmersion.of_bijective
∀ {R : Type u_1} {S : Type u_2} [inst : CommSemiring R] [inst_1 : CommSemiring S] [inst_2 : Algebra R S],
Function.Bijective ⇑(algebraMap R S) → Algebra.IsStandardOpenImmersion R S- Defined in
- Mathlib.RingTheory.RingHom.OpenImmersion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement and proof · cited by 4,706
- Function.Bijectivestatement and proof · cited by 863
- isUnit_oneproof · cited by 48
- Algebra.IsStandardOpenImmersionstatement · cited by 16
- IsLocalization.away_of_isUnit_of_bijectiveproof · cited by 6
- Algebra.isStandardOpenImmersion_iffproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.IsLocalIso.of_algEquivproof · cited by 1