Theorems · Theorem · algebraic geometry
RingHom.SurjectiveOnStalks.comp
∀ {R : Type u_1} [inst : CommRing R] {S : Type u_2} [inst_1 : CommRing S] {T : Type u_3} [inst_2 : CommRing T]
{g : S →+* T} {f : R →+* S}, g.SurjectiveOnStalks → f.SurjectiveOnStalks → (g.comp f).SurjectiveOnStalks- Defined in
- Mathlib.RingTheory.SurjectiveOnStalks
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 67 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.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- Idealproof · cited by 4,748
- RingHom.compstatement · cited by 899
- Ideal.IsPrimeproof · cited by 827
- Ideal.comapproof · cited by 443
- Localization.AtPrimeproof · cited by 299
- Localization.localRingHomproof · cited by 54
- RingHom.SurjectiveOnStalksstatement and proof · cited by 26
- RingHom.coe_compproof · cited by 17
- Localization.localRingHom_compproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- Ideal.surjectiveOnStalks_residueFieldproof · cited by 3
- RingHom.SurjectiveOnStalks.baseChange'proof · cited by 2
- RingHom.SurjectiveOnStalks.tensorProductMapproof · cited by 0