Theorems · Theorem · group theory

SubMulAction.exists_smul_of_last_eq

∀ (G : Type u_1) [inst : Group G] {α : Type u_2} [inst_1 : MulAction G α] [MulAction.IsPretransitive G α] {n : ℕ}
  (a : α) (x : Fin n.succ ↪ α), ∃ g y, g • x = SubMulAction.ofStabilizer.snoc y

Defined in

Mathlib.GroupTheory.GroupAction.SubMulAction.OfStabilizer

Cited by

1 results in Mathlib

Foundations

Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupMulActionMulAction.IsPretransitive