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Theorems · Theorem · group theory

AddAction.isBlock_top

∀ {G : Type u_1} [inst : AddGroup G] {X : Type u_2} [inst_1 : AddAction G X] {B : Set X},
  AddAction.IsBlock (↥⊤) B ↔ AddAction.IsBlock G B
Defined in
Mathlib.GroupTheory.GroupAction.Blocks
Cited by
1 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddGroupAddAction
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Around this declaration

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

AddAction.IsBlock.translate · cited by 4IsBlock.translateSet · cited by 53352SetTop.top · cited by 9680Top.topAddGroup · cited by 4410AddGroupAddSubgroup · cited by 3232AddSubgroupAddAction · cited by 820AddActionAddEquiv.toEquiv · cited by 174AddEquiv.toEquivAddAction.IsBlock · cited by 65AddAction.IsBlockEquiv.forall_congr_left · cited by 41Equiv.forall_congr_leftEquiv.forall_congr · cited by 22Equiv.forall_congrAddSubgroup.topEquiv · cited by 8AddSubgroup.topEquivAddAction.isBlock_topCITED BYCITES

Cites10

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Cited by1

Results whose statement or proof uses this declaration.