Theorems · Theorem · commutative algebra
AddValuation.onQuot_comap_eq
∀ {R : Type u_1} {Γ₀ : Type u_2} [inst : CommRing R] [inst_1 : LinearOrderedAddCommMonoidWithTop Γ₀]
(v : AddValuation R Γ₀) {J : Ideal R} (hJ : J ≤ v.supp), AddValuation.comap (Ideal.Quotient.mk J) (v.onQuot hJ) = v- Defined in
- Mathlib.RingTheory.Valuation.Quotient
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 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 · cited by 2,301
- Ideal.Quotient.mkstatement · cited by 610
- AddValuationstatement and proof · cited by 96
- LinearOrderedAddCommMonoidWithTopstatement and proof · cited by 68
- AddValuation.suppstatement and proof · cited by 7
- AddValuation.comapstatement · cited by 7
- AddValuation.onQuotstatement · cited by 3
- Valuation.onQuot_comap_eqproof · cited by 1
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