Theorems · Theorem · commutative algebra
AddValuation.supp_quot_supp
∀ {R : Type u_1} {Γ₀ : Type u_2} [inst : CommRing R] [inst_1 : LinearOrderedAddCommMonoidWithTop Γ₀]
(v : AddValuation R Γ₀), AddValuation.supp (Valuation.onQuot v ⋯) = 0- 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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Cites12
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 · cited by 4,748
- HasQuotient.Quotientstatement · cited by 2,301
- le_rflstatement · cited by 1,558
- OrderDualstatement · cited by 927
- Multiplicativestatement · cited by 875
- AddValuationstatement and proof · cited by 96
- LinearOrderedAddCommMonoidWithTopstatement and proof · cited by 68
- Valuation.suppstatement · cited by 12
- AddValuation.suppstatement · cited by 7
- Valuation.onQuotstatement · cited by 5
- Valuation.supp_quot_suppproof · cited by 1
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