Theorems · Theorem · group theory
Set.image_op_smul
∀ {α : Type u_2} [inst : Mul α] {s t : Set α}, MulOpposite.op '' s • t = t * s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Mul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- MulOppositestatement and proof · cited by 1,135
- MulOpposite.opstatement and proof · cited by 520
- Set.image2proof · cited by 311
- Set.mulstatement · cited by 297
- Set.smulstatement · cited by 110
- Set.image2_image_leftproof · cited by 17
- Set.image2_swapproof · cited by 17
- Set.image2_mulproof · cited by 5
- Set.image2_smulproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- IsOpen.mul_rightproof · cited by 3
- IsClosed.mul_right_of_isCompactproof · cited by 1