Theorems · Theorem · special functions
Real.Gamma_ofNat_eq_factorial
∀ (n : ℕ) [inst : (n + 1).AtLeastTwo], Real.Gamma (OfNat.ofNat (n + 1)) = ↑n.factorial
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 288 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nat.AtLeastTwo
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Nat.cast_oneproof · cited by 2,501
- Nat.factorialstatement and proof · cited by 616
- Nat.AtLeastTwostatement and proof · cited by 405
- Real.Gammastatement and proof · cited by 76
- Real.Gamma_nat_eq_factorialproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Real.Gamma_twoproof · cited by 3
- Real.exists_isMinOn_Gamma_Ioiproof · cited by 0