Theorems · Theorem · number theory
Nat.factorial_one
Nat.factorial 1 = 1
- Defined in
- Mathlib.Data.Nat.Factorial.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.factorialstatement · cited by 616
Cited by4
Results whose statement or proof uses this declaration.
- Stirling.stirlingSeq_oneproof · cited by 2
- Ring.multichoose_one_right'proof · cited by 2
- Polynomial.one_lt_rootMultiplicity_iff_isRoot_iterate_derivativeproof · cited by 1
- Nat.add_factorial_lt_factorial_addproof · cited by 0