Theorems · Theorem · group theory
AddAction.isMultiplyPreprimitive_of_isMultiplyPretransitive_succ
∀ (M : Type u_1) (α : Type u_2) [inst : AddGroup M] [inst_1 : AddAction M α] {n : ℕ},
↑n.succ ≤ ENat.card α → ∀ [AddAction.IsMultiplyPretransitive M α n.succ], AddAction.IsMultiplyPreprimitive M α nn.succ-pretransitivity implies n-preprimitivity.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Set.Elemproof · cited by 7,166
- ENatstatement · cited by 4,985
- AddGroupstatement and proof · cited by 4,410
- Finiteproof · cited by 3,029
- zero_addproof · cited by 2,366
- add_commproof · cited by 1,535
- AddActionstatement and proof · cited by 820
- Set.encardproof · cited by 327
- ENat.toNatproof · cited by 143
- ENat.cardstatement and proof · cited by 89
- AddAction.IsMultiplyPretransitivestatement and proof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- AddAction.isMultiplyPreprimitive_of_leproof · cited by 0