Theorems · Definition · group theory
AddAction.IsBlockSystem
(G : Type u_1) → [inst : AddGroup G] → {X : Type u_2} → [AddAction G X] → Set (Set X) → PropFor VAdd G X, a block system of X is a partition of X into blocks
for the additive action of G
- Defined in
- Mathlib.GroupTheory.GroupAction.Blocks
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- AddGroupstatement and proof · cited by 4,410
- AddActionstatement and proof · cited by 820
- AddAction.IsBlockproof · cited by 65
- Setoid.IsPartitionproof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- AddAction.IsBlock.isBlockSystemstatement · cited by 1
- AddAction.IsBlockSystem.of_normalstatement · cited by 0