Theorems · Theorem · commutative algebra
Valuation.self_le_supp_comap
∀ {R : Type u_1} {Γ₀ : Type u_2} [inst : CommRing R] [inst_1 : LinearOrderedCommMonoidWithZero Γ₀] (J : Ideal R)
(v : Valuation (R ⧸ J) Γ₀), J ≤ (Valuation.comap (Ideal.Quotient.mk J) v).supp- Defined in
- Mathlib.RingTheory.Valuation.Quotient
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 87 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.
- 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
- Ideal.map_le_iff_le_comapproof · cited by 60
- Valuation.comapstatement · cited by 15
- Valuation.suppstatement and proof · cited by 12
- Ideal.map_quotient_selfproof · cited by 12
- Valuation.comap_suppproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Valuation.comap_onQuot_eqstatement and proof · cited by 1
- AddValuation.self_le_supp_comapproof · cited by 1