Theorems · Theorem · group theory
Set.vadd_set_univ
∀ {α : Type u_2} {β : Type u_3} [inst : AddGroup α] [inst_1 : AddAction α β] {a : α}, a +ᵥ Set.univ = Set.univ- Cited by
- 16 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- AddGroupstatement and proof · cited by 4,410
- Set.univstatement · cited by 3,945
- HVAdd.hVAddstatement · cited by 1,820
- AddActionstatement and proof · cited by 820
- Set.vaddSetstatement · cited by 403
- Set.image_univ_of_surjectiveproof · cited by 13
- AddAction.surjectiveproof · cited by 4
Cited by16
Results whose statement or proof uses this declaration.
- Set.vadd_set_complproof · cited by 2
- iteratedFDeriv_comp_add_left'proof · cited by 2
- fderiv_comp_add_rightproof · cited by 1
- hasFDerivAt_comp_add_rightproof · cited by 1
- AddAction.IsFixedBlock.univproof · cited by 1
- isIntegralCurve_comp_addproof · cited by 1
- AddAction.IsPreprimitive.exists_mem_vadd_and_notMem_vaddproof · cited by 0
- IsAddFoelner.univ_of_isFiniteMeasureproof · cited by 0
- AddAction.stabilizer_univproof · cited by 0
- fderiv_comp_subproof · cited by 0
- AddAction.aestabilizer_univproof · cited by 0
- Dense.vaddproof · cited by 0