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Theorems · Theorem · group theory

MulAction.IsInvariantBlock.isFixedBlock

∀ {G : Type u_1} [inst : Group G] {X : Type u_2} [inst_1 : MulAction G X] {B : Set X},
  MulAction.IsInvariantBlock G B → MulAction.IsFixedBlock G B

An invariant block of a group action is a fixed block.

Defined in
Mathlib.GroupTheory.GroupAction.Blocks
Cited by
1 results in Mathlib
Foundations
Depth 62 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.IsInvariantBlock.isBlock · cited by 0IsInvariantBlock.isBlockSet · cited by 53352SetGroup · cited by 6238GroupMulAction · cited by 1294MulActionMulAction.IsFixedBlock · cited by 6MulAction.IsFixedBlockMulAction.IsInvariantBlock · cited by 4MulAction.IsInvariantBlockMulAction.isInvariantBlock_iff_isFixedBlock · cited by 1MulAction.isInvariantBloc…IsInvariantBlock.isFixedBlockCITED BYCITES

Cites6

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Cited by1

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