Theorems · Theorem · commutative algebra
AddValuation.map_sub_eq_of_lt_right
∀ {R : Type u_3} {Γ₀ : Type u_4} [inst : Ring R] [inst_1 : LinearOrderedAddCommMonoidWithTop Γ₀] (v : AddValuation R Γ₀)
{x y : R}, v y < v x → v (x - y) = v y- Defined in
- Mathlib.RingTheory.Valuation.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
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
- AddValuationstatement and proof · cited by 96
- LinearOrderedAddCommMonoidWithTopstatement and proof · cited by 68
- AddValuation.map_sub_swapproof · cited by 1
- AddValuation.map_sub_eq_of_lt_leftproof · cited by 1
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