Theorems · Theorem · commutative algebra
AddValuation.comap_onQuot_eq
∀ {R : Type u_1} {Γ₀ : Type u_2} [inst : CommRing R] [inst_1 : LinearOrderedAddCommMonoidWithTop Γ₀] (J : Ideal R)
(v : AddValuation (R ⧸ J) Γ₀), (AddValuation.comap (Ideal.Quotient.mk J) v).onQuot ⋯ = v- Defined in
- Mathlib.RingTheory.Valuation.Quotient
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- Idealstatement and proof · cited by 4,748
- HasQuotient.Quotientstatement and proof · cited by 2,301
- Ideal.Quotient.mkstatement · cited by 610
- AddValuationstatement and proof · cited by 96
- LinearOrderedAddCommMonoidWithTopstatement and proof · cited by 68
- AddValuation.comapstatement · cited by 7
- AddValuation.onQuotstatement · cited by 3
- AddValuation.self_le_supp_comapstatement · cited by 1
- Valuation.comap_onQuot_eqproof · cited by 1
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