Theorems · Theorem · group theory
MulAction.IsPretransitive.of_smul_eq
∀ {M : Type u_5} {N : Type u_6} {α : Type u_7} [inst : SMul M α] [inst_1 : SMul N α] [MulAction.IsPretransitive M α]
(f : M → N), (∀ {c : M} {x : α}, f c • x = c • x) → MulAction.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.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulAction.IsPretransitivestatement and proof · cited by 94
- MulAction.IsPretransitive.exists_smul_eqproof · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- MulAction.IsPretransitive.of_compHomproof · cited by 1
- MulAction.IsPretransitive.of_isScalarTowerproof · cited by 0