Theorems · Theorem · group theory
MulAction.IsBlock.translate
∀ {G : Type u_1} [inst : Group G] {X : Type u_2} [inst_1 : MulAction G X] {B : Set X} (g : G),
MulAction.IsBlock G B → MulAction.IsBlock G (g • B)A translate of a block is a block
- Defined in
- Mathlib.GroupTheory.GroupAction.Blocks
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Top.topproof · cited by 9,680
- Groupstatement and proof · cited by 6,238
- Subgroupproof · cited by 3,593
- MulActionstatement and proof · cited by 1,294
- Set.smulSetstatement · cited by 608
- MonoidHomClass.toMonoidHomproof · cited by 294
- MulAction.IsBlockstatement and proof · cited by 73
- MulAut.conjproof · cited by 64
- MulEquiv.surjectiveproof · cited by 41
- Subgroup.comap_topproof · cited by 10
Cited by5
Results whose statement or proof uses this declaration.
- MulAction.IsBlock.subsingleton_of_stabilizer_lt_of_subsetproof · cited by 2
- MulAction.IsPreprimitive.of_isTrivialBlock_of_notMem_fixedPointsproof · cited by 1
- MulAction.IsBlock.isBlockSystemproof · cited by 1
- MulAction.IsPreprimitive.of_card_ltproof · cited by 1
- MulAction.IsPreprimitive.of_isTrivialBlock_baseproof · cited by 1