Theorems · Theorem · commutative algebra
AddValuation.map_div
∀ {K : Type u_1} [inst : DivisionRing K] {Γ₀ : Type u_4} [inst_1 : LinearOrderedAddCommGroupWithTop Γ₀]
(v : AddValuation K Γ₀) {x y : K}, v (x / y) = v x - v y- Defined in
- Mathlib.RingTheory.Valuation.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 45 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
- DivisionRingstatement and proof · cited by 1,062
- map_div₀proof · cited by 98
- AddValuationstatement and proof · cited by 96
- LinearOrderedAddCommGroupWithTopstatement and proof · cited by 37
- AddValuation.toValuationproof · cited by 21
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