Theorems · Theorem · group theory
MulAction.IsFixedBlock.orbit
∀ {G : Type u_1} [inst : Group G] {X : Type u_2} [inst_1 : MulAction G X] (a : X),
MulAction.IsFixedBlock G (MulAction.orbit G a)An orbit is a fixed block.
- Defined in
- Mathlib.GroupTheory.GroupAction.Blocks
- Cited by
- 1 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.
- Groupstatement and proof · cited by 6,238
- MulActionstatement and proof · cited by 1,294
- MulAction.orbitstatement · cited by 114
- MulAction.IsFixedBlockstatement · cited by 6
- MulAction.smul_orbitproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- MulAction.IsBlock.orbitproof · cited by 1