Theorems · Theorem · special functions
Complex.Gamma_ofNat_eq_factorial
∀ (n : ℕ) [inst : (n + 1).AtLeastTwo], Complex.Gamma (OfNat.ofNat (n + 1)) = ↑n.factorial
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- Foundations
- Depth 287 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nat.AtLeastTwo
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement · cited by 5,565
- Nat.cast_oneproof · cited by 2,501
- Nat.factorialstatement and proof · cited by 616
- Nat.AtLeastTwostatement and proof · cited by 405
- Complex.Gammastatement and proof · cited by 96
- Complex.Gamma_nat_eq_factorialproof · cited by 4
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