Theorems · Theorem · commutative algebra
ValuativeExtension.mapValueGroupWithZero_strictMono
∀ {A : Type u_1} {B : Type u_2} [inst : CommRing A] [inst_1 : Ring B] [inst_2 : ValuativeRel A]
[inst_3 : ValuativeRel B] [inst_4 : Algebra A B] [inst_5 : ValuativeExtension A B],
StrictMono ⇑(ValuativeExtension.mapValueGroupWithZero A B)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Algebra.algebraMapproof · cited by 4,706
- StrictMonostatement · cited by 706
- MonoidWithZeroHomstatement · cited by 704
- ValuativeRelstatement and proof · cited by 241
- ValuativeRel.ValueGroupWithZerostatement · cited by 86
- ValuativeRel.valuationproof · cited by 42
- StrictMono.compproof · cited by 36
- Valuation.comapproof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- ValuativeRel.IsRankLeOne.of_valuativeExtensionproof · cited by 0