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Theorems · Theorem · group theory

MulAction.fixedBy_subset_fixedBy_zpow

∀ (α : Type u_1) {G : Type u_2} [inst : Group G] [inst_1 : MulAction G α] (g : G) (j : ℤ),
  MulAction.fixedBy α g ⊆ MulAction.fixedBy α (g ^ j)
Defined in
Mathlib.GroupTheory.GroupAction.FixedPoints
Cited by
2 results in Mathlib
Foundations
Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupMulAction
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MulAction.smul_zpow_fixedBy_eq_of_commute · cited by 0MulAction.smul_zpow_fixed…MulAction.smul_zpow_movedBy_eq_of_commute · cited by 0MulAction.smul_zpow_moved…Set · cited by 53352SetGroup · cited by 6238GroupMulAction · cited by 1294MulActionMulAction.fixedBy · cited by 36MulAction.fixedByMulAction.mem_fixedBy_zpow · cited by 2MulAction.mem_fixedBy_zpowMulAction.fixedBy_subset_fixe…CITED BYCITES

Cites5

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Cited by2

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