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Theorems · Theorem · group theory

SMulDistribClass.smul_distrib_smul

∀ {G : Type u_9} {R : Type u_10} {S : Type u_11} {inst : SMul G R} {inst_1 : SMul G S} {inst_2 : SMul R S}
  [self : SMulDistribClass G R S] (g : G) (r : R) (s : S), g • r • s = (g • r) • g • s
Defined in
Mathlib.Algebra.Group.Action.Defs
Cited by
1 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
SMulDistribClass
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algebraMap.coe_smul' · cited by 2algebraMap.coe_smul'SMulDistribClass · cited by 23SMulDistribClassSMulDistribClass.smul_distrib…CITED BYCITES

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