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Theorems · Theorem · group theory

MulAction.surjective_smul

∀ (M : Type u_1) {α : Type u_3} [inst : SMul M α] [MulAction.IsPretransitive M α] (x : α),
  Function.Surjective fun c => c • x
Defined in
Mathlib.Algebra.Group.Action.Pretransitive
Cited by
2 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
SMulMulAction.IsPretransitive
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Around this declaration

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

MulAction.orbit_eq_univ · cited by 2MulAction.orbit_eq_univMulAction.properSMul_of_proper_orbitMap · cited by 0MulAction.properSMul_of_p…MulAction.IsPretransitive · cited by 94MulAction.IsPretransitiveMulAction.exists_smul_eq · cited by 32MulAction.exists_smul_eqMulAction.surjective_smulCITED BYCITES

Cites2

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Cited by2

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