Theorems · Theorem · commutative algebra
StandardEtalePair.HasMap.map
∀ {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} {x : S},
P.HasMap x → ∀ (f : S →ₐ[R] T), P.HasMap (f x)- Defined in
- Mathlib.RingTheory.Etale.StandardEtale
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 112 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
- AlgHomstatement and proof · cited by 3,236
- map_zeroproof · cited by 1,614
- IsUnitproof · cited by 1,602
- IsUnit.mapproof · cited by 104
- StandardEtalePairstatement and proof · cited by 29
- StandardEtalePair.fproof · cited by 18
- StandardEtalePair.gproof · cited by 17
- Polynomial.aeval_algHomproof · cited by 14
- StandardEtalePair.HasMapstatement and proof · cited by 14
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.