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Theorems · Theorem · group theory

AddAction.IsBlock.of_subsingleton

∀ {G : Type u_1} {X : Type u_2} [inst : VAdd G X] {B : Set X}, B.Subsingleton → AddAction.IsBlock G B

Subsingletons are (trivial) blocks.

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
VAdd
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Around this declaration

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

AddAction.IsTrivialBlock.isBlock · cited by 0IsTrivialBlock.isBlockSet · cited by 53352SetVAdd · cited by 616VAddSet.Subsingleton · cited by 276Set.SubsingletonAddAction.IsBlock · cited by 65AddAction.IsBlockSet.Subsingleton.induction_on · cited by 12Subsingleton.induction_onAddAction.IsBlock.empty · cited by 1IsBlock.emptyAddAction.IsBlock.singleton · cited by 1IsBlock.singletonIsBlock.of_subsingletonCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.