Theorems · Theorem · commutative algebra
Valuation.onQuot_comap_eq
∀ {R : Type u_1} {Γ₀ : Type u_2} [inst : CommRing R] [inst_1 : LinearOrderedCommMonoidWithZero Γ₀] (v : Valuation R Γ₀)
{J : Ideal R} (hJ : J ≤ v.supp), Valuation.comap (Ideal.Quotient.mk J) (v.onQuot hJ) = v- Defined in
- Mathlib.RingTheory.Valuation.Quotient
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Valuationstatement and proof · cited by 823
- Ideal.Quotient.mkstatement · cited by 610
- LinearOrderedCommMonoidWithZerostatement and proof · cited by 139
- Valuation.comapstatement · cited by 15
- Valuation.suppstatement and proof · cited by 12
- Valuation.extproof · cited by 8
- Valuation.onQuotstatement · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- AddValuation.onQuot_comap_eqproof · cited by 0