Theorems · Theorem · group theory
AddAction.exists_vadd_eq
∀ (M : Type u_1) {α : Type u_3} [inst : VAdd M α] [AddAction.IsPretransitive M α] (x y : α), ∃ m, m +ᵥ x = y- Cited by
- 20 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- HVAdd.hVAddstatement · 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 by20
Results whose statement or proof uses this declaration.
- SubAddAction.ofFixingAddSubgroup.isMultiplyPretransitiveproof · cited by 3
- AddAction.IsPretransitive.discreteTopology_iffproof · cited by 2
- AddAction.pretransitive_iff_subsingleton_quotientproof · cited by 2
- AddAction.surjective_vaddproof · cited by 2
- AddAction.isPretransitive_iff_baseproof · cited by 2
- SubAddAction.ofStabilizer.isMultiplyPretransitiveproof · cited by 2
- AddAction.is_two_pretransitive_iffproof · cited by 2
- vadd_singleton_mem_nhds_of_sigmaCompactproof · cited by 1
- AddAction.IsPreprimitive.of_isTrivialBlock_baseproof · cited by 1
- AddAction.IsPreprimitive.of_isTrivialBlock_of_notMem_fixedPointsproof · cited by 1
- AddAction.IsBlock.isBlockSystemproof · cited by 1
- AddAction.IsBlock.of_subsetproof · cited by 1