Theorems · Theorem · combinatorics
Rel.card_interedges_finpartition_left
∀ {α : Type u_4} {β : Type u_5} (r : α → β → Prop) [inst : (a : α) → DecidablePred (r a)] {s : Finset α}
[inst_1 : DecidableEq α] (P : Finpartition s) (t : Finset β),
(Rel.interedges r s t).card = ∑ a ∈ P.parts, (Rel.interedges r a t).card- Cited by
- 1 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidablePredDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- SetLike.coeproof · cited by 8,199
- Finset.sumstatement and proof · cited by 5,195
- Finset.cardstatement and proof · cited by 2,327
- Finset.biUnionproof · cited by 217
- Finpartitionstatement and proof · cited by 199
- Finpartition.partsstatement and proof · cited by 184
- Rel.interedgesstatement and proof · cited by 27
- Finset.card_biUnionproof · cited by 16
- Finpartition.disjointproof · cited by 13
- Rel.interedges_biUnion_leftproof · cited by 3
- Finpartition.biUnion_partsproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Rel.card_interedges_finpartitionproof · cited by 0