Theorems · Theorem · group theory
MulAction.exists_smul_eq
∀ (M : Type u_1) {α : Type u_3} [inst : SMul M α] [MulAction.IsPretransitive M α] (x y : α), ∃ m, m • x = y- Cited by
- 32 results in Mathlib
- Foundations
- Depth 5 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 by32
Results whose statement or proof uses this declaration.
- SubMulAction.ofStabilizer.isMultiplyPretransitiveproof · cited by 5
- MulAction.isPretransitive_iff_baseproof · cited by 4
- alternatingGroup.isMultiplyPretransitiveproof · cited by 4
- MulAction.IwasawaStructure.commutator_leproof · cited by 4
- SubMulAction.ofFixingSubgroup.isMultiplyPretransitiveproof · cited by 4
- CategoryTheory.PreGaloisCategory.action_ext_of_isGaloisproof · cited by 2
- MulAction.IsPretransitive.discreteTopology_iffproof · cited by 2
- MulAction.is_two_pretransitive_iffproof · cited by 2
- Sylow.normalizer_sup_eq_topproof · cited by 2
- CategoryTheory.PreGaloisCategory.toAut_surjective_isGaloisproof · cited by 2
- MulAction.surjective_smulproof · cited by 2
- MulAction.pretransitive_iff_subsingleton_quotientproof · cited by 2