Theorems · Theorem · commutative algebra
AddValuation.map_sub_swap
∀ {R : Type u_3} {Γ₀ : Type u_4} [inst : Ring R] [inst_1 : LinearOrderedAddCommMonoidWithTop Γ₀] (v : AddValuation R Γ₀)
(x y : R), v (x - y) = v (y - x)- Defined in
- Mathlib.RingTheory.Valuation.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Ringstatement and proof · cited by 7,463
- AddValuationstatement and proof · cited by 96
- LinearOrderedAddCommMonoidWithTopstatement and proof · cited by 68
- Valuation.map_sub_swapproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- AddValuation.map_sub_eq_of_lt_rightproof · cited by 0