Theorems · Theorem · commutative algebra
StandardEtalePair.HasMap.map_algebraMap
∀ {R : Type u_1} {S : Type u_2} {T : Type u_3} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : CommRing T]
[inst_3 : Algebra R S] [inst_4 : Algebra R T] (P : StandardEtalePair R) [inst_5 : Algebra S T] [IsScalarTower R S T]
{x : T}, P.HasMap x → (P.map (algebraMap R S)).HasMap x- Defined in
- Mathlib.RingTheory.Etale.StandardEtale
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Algebra.algebraMapstatement and proof · cited by 4,706
- IsScalarTowerstatement and proof · cited by 3,896
- IsUnitproof · cited by 1,602
- Polynomial.aevalproof · cited by 615
- Polynomial.aeval_map_algebraMapproof · cited by 31
- StandardEtalePairstatement and proof · cited by 29
- StandardEtalePair.fproof · cited by 18
- StandardEtalePair.gproof · cited by 17
- StandardEtalePair.HasMapstatement and proof · cited by 14
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.