Theorems · Theorem · group theory
AddAction.IsPretransitive.of_vadd_eq
∀ {M : Type u_5} {N : Type u_6} {α : Type u_7} [inst : VAdd M α] [inst_1 : VAdd N α] [AddAction.IsPretransitive M α]
(f : M → N), (∀ {c : M} {x : α}, f c +ᵥ x = c +ᵥ x) → AddAction.IsPretransitive N α- Cited by
- 2 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- HVAdd.hVAddstatement and proof · cited by 1,820
- VAddstatement and proof · cited by 616
- AddAction.IsPretransitivestatement and proof · cited by 56
- AddAction.IsPretransitive.exists_vadd_eqproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- AddAction.IsPretransitive.of_vaddAssocClassproof · cited by 0
- AddAction.IsPretransitive.of_compHomproof · cited by 0