Theorems · Definition · group theory
MulAction.IsInvariantBlock
(G : Type u_1) → {X : Type u_2} → [SMul G X] → Set X → PropA set B is a G-invariant block if g • B ⊆ B for all g : G.
Note: It is not necessarily a block when the action is not by a group.
- Defined in
- Mathlib.GroupTheory.GroupAction.Blocks
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- SMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
Cited by4
Results whose statement or proof uses this declaration.
- MulAction.IsInvariantBlock.isFixedBlockstatement · cited by 1
- MulAction.isInvariantBlock_iff_isFixedBlockstatement and proof · cited by 1
- MulAction.IsFixedBlock.isInvariantBlockstatement · cited by 1
- MulAction.IsInvariantBlock.isBlockstatement and proof · cited by 0