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Theorems · Theorem · group theory

AddAction.isPretransitive_iff

∀ (M : Type u_5) (α : Type u_6) [inst : VAdd M α], AddAction.IsPretransitive M α ↔ ∀ (x y : α), ∃ g, g +ᵥ x = y
Defined in
Mathlib.Algebra.Group.Action.Pretransitive
Cited by
1 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
VAdd
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Around this declaration

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

AddAction.isMultiplyPretransitive_iff · cited by 0AddAction.isMultiplyPretr…HVAdd.hVAdd · cited by 1820HVAdd.hVAddVAdd · cited by 616VAddAddAction.IsPretransitive · cited by 56AddAction.IsPretransitiveAddAction.IsPretransitive.casesOn · cited by 1IsPretransitive.casesOnAddAction.isPretransitive_iffCITED BYCITES

Cites4

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Cited by1

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