Theorems · Theorem · ring theory
HasDistribNeg.mul_neg
∀ {α : Type u_1} {inst : Mul α} [self : HasDistribNeg α] (x y : α), x * -y = -(x * y)Negation is right distributive over multiplication
- Defined in
- Mathlib.Algebra.Ring.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- HasDistribNeg
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Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- HasDistribNegstatement and proof · cited by 114
Cited by1
Results whose statement or proof uses this declaration.
- mul_negproof · cited by 590