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Theorems · Theorem · ring theory

RightDistribClass.right_distrib

∀ {R : Type u_1} {inst : Mul R} {inst_1 : Add R} [self : RightDistribClass R] (a b c : R), (a + b) * c = a * c + b * c

Multiplication is right distributive over addition

Defined in
Mathlib.Algebra.Ring.Defs
Cited by
2 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
RightDistribClass
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right_distrib · cited by 26right_distribrieszContentAux_union · cited by 2rieszContentAux_unionFunction.Injective.distrib · cited by 0Injective.distribFunction.Surjective.distrib · cited by 0Surjective.distribRightDistribClass · cited by 11RightDistribClassRightDistribClass.right_distr…CITED BYCITES

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Cited by4

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