Theorems · Theorem · group theory

SubAddAction.ofStabilizer.addConjMap_comp

∀ {G : Type u_1} [inst : AddGroup G] {α : Type u_2} [inst_1 : AddAction G α] {g h k : G} {a b c : α} (hg : b = g +ᵥ a)
  (hh : c = h +ᵥ b) (hk : c = k +ᵥ a) (H : k = h + g),
  (SubAddAction.ofStabilizer.conjMap hh).comp (SubAddAction.ofStabilizer.conjMap hg) =
    SubAddAction.ofStabilizer.conjMap hk

Defined in

Mathlib.GroupTheory.GroupAction.SubMulAction.OfStabilizer

Cited by

0 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddGroupAddAction