Theorems · Theorem · commutative algebra
Valuation.comap_supp
∀ {R : Type u_3} {Γ₀ : Type u_4} [inst : CommRing R] [inst_1 : LinearOrderedCommMonoidWithZero Γ₀] (v : Valuation R Γ₀)
{S : Type u_7} [inst_2 : CommRing S] (f : S →+* R), (Valuation.comap f v).supp = Ideal.comap f v.supp- Defined in
- Mathlib.RingTheory.Valuation.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- RingHomstatement and proof · cited by 10,189
- Idealstatement · cited by 4,748
- Valuationstatement and proof · cited by 823
- Ideal.comapstatement and proof · cited by 443
- LinearOrderedCommMonoidWithZerostatement and proof · cited by 139
- Ideal.extproof · cited by 131
- Ideal.mem_comapproof · cited by 54
- Valuation.comapstatement and proof · cited by 15
- Valuation.suppstatement and proof · cited by 12
- Valuation.mem_supp_iffproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Valuation.self_le_supp_comapproof · cited by 2
- AddValuation.comap_suppproof · cited by 0