Theorems · Theorem · probability
ProbabilityTheory.binomial_real_zero
∀ (n : ℕ) (p : ↑unitInterval), (ProbabilityTheory.binomial n p).real {0} = (1 - ↑p) ^ n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 291 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- Set.Elemstatement and proof · cited by 7,166
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- pow_zeroproof · cited by 1,094
- unitIntervalstatement and proof · cited by 607
- MeasureTheory.Measure.realstatement · cited by 530
- tsub_zeroproof · cited by 123
- Nat.choose_zero_rightproof · cited by 55
- ProbabilityTheory.binomialstatement · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.binomial_one_eq_bernoulliMeasureproof · cited by 0