Theorems · Theorem · group theory
Finset.empty_mul
∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : Mul α] (s : Finset α), ∅ * s = ∅- Cited by
- 4 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.mulstatement · cited by 155
- Finset.image₂_empty_leftproof · cited by 11
Cited by4
Results whose statement or proof uses this declaration.
- Finset.mulConst_mul_cardproof · cited by 4
- Finset.ruzsa_triangle_inequality_mul_mul_mulproof · cited by 2
- Finset.pluennecke_petridis_inequality_mulproof · cited by 1
- Finset.mulConst_empty_leftproof · cited by 1