Theorems · Definition · commutative algebra
StandardEtalePair.map
{R : Type u_1} →
{S : Type u_2} → [inst : CommRing R] → [inst_1 : CommRing S] → StandardEtalePair R → (R →+* S) → StandardEtalePair SMapping a standard etale pair under a ring homomorphism.
- Defined in
- Mathlib.RingTheory.Etale.StandardEtale
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- Polynomial.mapproof · cited by 806
- StandardEtalePairstatement and proof · cited by 29
- StandardEtalePair.fproof · cited by 18
- StandardEtalePair.gproof · cited by 17
Cited by5
Results whose statement or proof uses this declaration.
- StandardEtalePair.map_gstatement and proof · cited by 2
- StandardEtalePair.map_fstatement and proof · cited by 2
- StandardEtalePresentation.baseChangeproof · cited by 1
- StandardEtalePair.HasMap.map_algebraMapstatement · cited by 0
- mem_adjoin_map_integralClosure_of_isStandardEtaleproof · cited by 0