Theorems · Theorem · probability
SimpleGraph.binomialRandom_singleton
∀ {V : Type u_1} (p : ↑unitInterval) [Finite V] (G : SimpleGraph V),
(SimpleGraph.binomialRandom V p) {G} =
↑(unitInterval.toNNReal p) ^ G.edgeSet.ncard *
↑(unitInterval.toNNReal (unitInterval.symm p)) ^ ((Nat.card V).choose 2 - G.edgeSet.ncard)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 288 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Finite
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Cites34
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Realstatement · cited by 25,697
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Fintypeproof · cited by 7,736
- Set.Elemstatement and proof · cited by 7,166
- SimpleGraphstatement and proof · cited by 3,072
- Finitestatement and proof · cited by 3,029
- Compl.complproof · cited by 2,925
- ENNReal.ofNNRealstatement and proof · cited by 1,279
- Nat.cardstatement and proof · cited by 844
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