Theorems · Theorem · commutative algebra
IsFractionRing.ringEquivOfRingEquivHom_injective
∀ (A : Type u_8) (K : Type u_9) [inst : CommRing A] [inst_1 : CommRing K] [inst_2 : Algebra A K] [inst_3 : IsFractionRing A K], Function.Injective ⇑(IsFractionRing.ringEquivOfRingEquivHom A K)
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Algebra.algebraMapproof · cited by 4,706
- MonoidHomstatement · cited by 3,629
- RingEquivstatement and proof · cited by 1,147
- IsFractionRingstatement and proof · cited by 738
- IsLocalization.map_eqproof · cited by 34
- RingEquiv.extproof · cited by 33
- IsFractionRing.ringEquivOfRingEquiv_applyproof · cited by 7
- IsFractionRing.ringEquivOfRingEquivHomstatement and proof · cited by 3
- RingEquiv.ext_iffproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.