Theorems · Theorem · group theory
MulAction.IsPretransitive.exists_smul_eq
∀ {M : Type u_5} {α : Type u_6} {inst : SMul M α} [self : MulAction.IsPretransitive M α] (x y : α), ∃ g, g • x = yThere is g such that g • x = y.
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- MulAction.IsPretransitive
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
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
Cited by12
Results whose statement or proof uses this declaration.
- MulAction.exists_smul_eqproof · cited by 32
- MulAction.IsPretransitive.of_surjective_mapproof · cited by 7
- SubMulAction.ofStabilizer.isMultiplyPretransitiveproof · cited by 5
- MulAction.isPretransitive_congrproof · cited by 4
- MulAction.IsPretransitive.of_smul_eqproof · cited by 2
- SubMulAction.IsPretransitive.isPretransitive_ofFixingSubgroup_interproof · cited by 2
- CategoryTheory.PreGaloisCategory.evaluation_aut_surjective_of_isGaloisproof · cited by 1
- CategoryTheory.PreGaloisCategory.stabilizer_normal_of_isGaloisproof · cited by 1
- IsQuotientCoveringMap.exists_toPermFiber_eqproof · cited by 1
- MulAction.IsPretransitive.of_embeddingproof · cited by 1