Theorems · Theorem · algebraic geometry
RingHom.SurjectiveOnStalks.baseChange
∀ {R : Type u_1} [inst : CommRing R] {S : Type u_2} [inst_1 : CommRing S] {T : Type u_3} [inst_2 : CommRing T]
[inst_3 : Algebra R T] [inst_4 : Algebra R S],
(algebraMap R T).SurjectiveOnStalks → (algebraMap S (TensorProduct R S T)).SurjectiveOnStalks- Defined in
- Mathlib.RingTheory.SurjectiveOnStalks
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
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
- Algebrastatement and proof · cited by 11,388
- CommSemiringproof · cited by 10,911
- RingHomproof · cited by 10,189
- Idealproof · cited by 4,748
- Algebra.algebraMapstatement and proof · cited by 4,706
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- TensorProductstatement and proof · cited by 2,545
- TensorProduct.tmulproof · cited by 1,182
- Ideal.IsPrimeproof · cited by 827
Cited by1
Results whose statement or proof uses this declaration.
- RingHom.SurjectiveOnStalks.baseChange'proof · cited by 2