Theorems · Theorem · group theory

AddSubgroup.index_smul

∀ {G : Type u_1} {A : Type u_2} [inst : Group G] [inst_1 : AddGroup A] [inst_2 : DistribMulAction G A] (a : G)
  (S : AddSubgroup A), (a • S).index = S.index

Defined in

Mathlib.GroupTheory.Index

Cited by

0 results in Mathlib

Foundations

Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupAddGroupDistribMulAction