Theorems · Definition · number theory
Nat.factorial
ℕ → ℕ
Nat.factorial n is the factorial of n.
- Defined in
- Mathlib.Data.Nat.Factorial.Basic
- Cited by
- 616 results in Mathlib
- Foundations
- Depth 11 from the axioms, rests on 28 definitions · uses no axioms
Around this declaration
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Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by654
Results whose statement or proof uses this declaration.
- Nat.factorial_posstatement · cited by 99
- NormedSpace.expSeriesproof · cited by 68
- UpperHalfPlane.qExpansionproof · cited by 64
- Nat.factorial_ne_zerostatement · cited by 56
- Complex.exp_addproof · cited by 55
- Complex.exp_zeroproof · cited by 43
- Nat.multinomialproof · cited by 34
- Nat.factorial_succstatement · cited by 30
- NormedSpace.expSeries_radius_eq_topproof · cited by 27
- Stirling.stirlingSeqproof · cited by 22
- PowerSeries.expproof · cited by 17
- ProbabilityTheory.poissonMeasureproof · cited by 16
Showing the 200 most cited of 654.