Theorems · Theorem · combinatorics
SimpleGraph.interedges_biUnion
∀ {ι : Type u_2} {κ : Type u_3} {α : Type u_4} (G : SimpleGraph α) [inst : DecidableRel G.Adj] [inst_1 : DecidableEq α]
(s : Finset ι) (t : Finset κ) (f : ι → Finset α) (g : κ → Finset α),
G.interedges (s.biUnion f) (t.biUnion g) = (s ×ˢ t).biUnion fun ab => G.interedges (f ab.1) (g ab.2)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableRelDecidableEq
Around this declaration
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Cites7
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
- SimpleGraphstatement and proof · cited by 3,072
- SProd.sprodstatement · cited by 1,750
- SimpleGraph.Adjstatement and proof · cited by 1,346
- Finset.biUnionstatement · cited by 217
- SimpleGraph.interedgesstatement · cited by 23
- Rel.interedges_biUnionproof · cited by 1
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