Theorems · Theorem · group theory
Set.image_op_vadd
∀ {α : Type u_2} [inst : Add α] {s t : Set α}, AddOpposite.op '' s +ᵥ t = t + s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Add
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.imagestatement and proof · cited by 5,609
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddOppositestatement and proof · cited by 452
- Set.addstatement · cited by 338
- Set.image2proof · cited by 311
- AddOpposite.opstatement and proof · cited by 192
- Set.vaddstatement · cited by 72
- Set.image2_swapproof · cited by 17
- Set.image2_image_leftproof · cited by 17
- Set.image2_addproof · cited by 6
- Set.image2_vaddproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- IsOpen.add_rightproof · cited by 4
- IsClosed.add_right_of_isCompactproof · cited by 1