Theorems · Theorem · group theory
Set.singleton_mul
∀ {α : Type u_2} [inst : Mul α] {t : Set α} {a : α}, {a} * t = (fun x => a * x) '' t- Cited by
- 9 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext, Quot.sound
- Assumes
- Mul
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.
- Setstatement and proof · cited by 53,352
- Set.imagestatement · cited by 5,609
- Set.mulstatement · cited by 297
- Set.image2_singleton_leftproof · cited by 15
Cited by9
Results whose statement or proof uses this declaration.
- singleton_mul_sphereproof · cited by 3
- singleton_mul_ballproof · cited by 3
- singleton_mul_closedBallproof · cited by 3
- QuotientGroup.preimage_mk_oneproof · cited by 2
- IsApproximateSubgroup.subgroupproof · cited by 1
- Subgroup.singleton_mul_subgroupproof · cited by 1
- Submodule.singleton_smulproof · cited by 0
- singleton_mul_ball_oneproof · cited by 0
- Set.pair_mulproof · cited by 0