Theorems · Theorem · group theory
Finset.smul_finset_univ
∀ {α : Type u_2} {β : Type u_3} [inst : DecidableEq β] [inst_1 : Group α] [inst_2 : MulAction α β] {a : α}
[inst_3 : Fintype β], a • Finset.univ = Finset.univ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, 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.
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Groupstatement and proof · cited by 6,238
- Finset.univstatement · cited by 3,473
- MulActionstatement and proof · cited by 1,294
- Finset.smulFinsetstatement · cited by 101
- Finset.image_univ_of_surjectiveproof · cited by 5
- MulAction.surjectiveproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- Finset.smul_finset_eq_univproof · cited by 1
- Finset.convolution_univproof · cited by 0
- MulAction.stabilizer_finset_univproof · cited by 0