Theorems · Theorem · group theory
AddAction.isMultiplyPretransitive_iff
∀ {G : Type u_1} {α : Type u_2} [inst : AddGroup G] [inst_1 : AddAction G α] {n : ℕ},
AddAction.IsMultiplyPretransitive G α n ↔ ∀ (x y : Fin n ↪ α), ∃ g, g +ᵥ x = y- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- HVAdd.hVAddstatement · cited by 1,820
- Function.Embeddingstatement and proof · cited by 988
- AddActionstatement and proof · cited by 820
- AddAction.IsMultiplyPretransitivestatement · cited by 17
- AddAction.isPretransitive_iffproof · cited by 1
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