Theorems · Theorem · combinatorics
SimpleGraph.edgeDensity_add_edgeDensity_compl
∀ {α : Type u_4} (G : SimpleGraph α) [inst : DecidableRel G.Adj] {s t : Finset α} [inst_1 : DecidableEq α],
s.Nonempty → t.Nonempty → Disjoint s t → G.edgeDensity s t + Gᶜ.edgeDensity s t = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableRelDecidableEq
Around this declaration
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Cites17
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
- Compl.complstatement and proof · cited by 2,925
- Finset.cardproof · cited by 2,327
- Disjointstatement and proof · cited by 2,201
- SimpleGraph.Adjstatement and proof · cited by 1,346
- Finset.Nonemptystatement and proof · cited by 1,001
- ne_of_gtproof · cited by 637
- mul_posproof · cited by 374
- Nat.cast_pos'proof · cited by 219
- add_divproof · cited by 89
- Finset.Nonempty.card_posproof · cited by 55
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