Theorems · Theorem · combinatorics
Finset.product_empty
∀ {α : Type u_1} {β : Type u_2} (s : Finset α), s ×ˢ ∅ = ∅- Defined in
- Mathlib.Data.Finset.Prod
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- SProd.sprodstatement and proof · cited by 1,750
- Finset.mem_productproof · cited by 48
- Finset.notMem_emptyproof · cited by 40
- Finset.eq_empty_of_forall_notMemproof · cited by 6
Cited by7
Results whose statement or proof uses this declaration.
- Finset.addEnergy_empty_rightproof · cited by 1
- Finset.mulEnergy_empty_leftproof · cited by 1
- PairReduction.card_pairSetSeq_le_logSizeRadius_mulproof · cited by 1
- Finset.mulEnergy_empty_rightproof · cited by 1
- Finset.addEnergy_empty_leftproof · cited by 1
- Finset.disjSups_empty_rightproof · cited by 0
- EMetric.pair_reductionproof · cited by 0