Theorems · Theorem · commutative algebra
Valuation.comap_onQuot_eq
∀ {R : Type u_1} {Γ₀ : Type u_2} [inst : CommRing R] [inst_1 : LinearOrderedCommMonoidWithZero Γ₀] (J : Ideal R)
(v : Valuation (R ⧸ J) Γ₀), (Valuation.comap (Ideal.Quotient.mk J) v).onQuot ⋯ = v- Defined in
- Mathlib.RingTheory.Valuation.Quotient
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Idealstatement and proof · cited by 4,748
- HasQuotient.Quotientstatement and proof · cited by 2,301
- Valuationstatement and proof · cited by 823
- Ideal.Quotient.mkstatement and proof · cited by 610
- LinearOrderedCommMonoidWithZerostatement and proof · cited by 139
- Valuation.comapstatement and proof · cited by 15
- Valuation.extproof · cited by 8
- Valuation.onQuotstatement and proof · cited by 5
- Valuation.self_le_supp_comapstatement and proof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddValuation.comap_onQuot_eqproof · cited by 0