Theorems · Theorem · commutative algebra
Valuation.map_sub_lt
∀ {R : Type u_3} {Γ₀ : Type u_4} [inst : Ring R] [inst_1 : LinearOrderedCommMonoidWithZero Γ₀] (v : Valuation R Γ₀)
{x y : R} {g : Γ₀}, v x < g → v y < g → v (x - y) < g- Defined in
- Mathlib.RingTheory.Valuation.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Ringstatement and proof · cited by 7,463
- sub_eq_add_negproof · cited by 1,023
- Valuationstatement and proof · cited by 823
- LinearOrderedCommMonoidWithZerostatement and proof · cited by 139
- Eq.trans_ltproof · cited by 34
- Valuation.map_negproof · cited by 11
- Valuation.map_add_ltproof · cited by 4
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