Theorems · Theorem · number theory
Nat.ascFactorial_le_pow_add
∀ (n k : ℕ), (n + 1).ascFactorial k ≤ (n + k) ^ k
- Defined in
- Mathlib.Data.Nat.Factorial.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 22 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.ascFactorialstatement · cited by 41
Cited by2
Results whose statement or proof uses this declaration.
- Nat.factorial_two_mul_leproof · cited by 1
- Nat.ascFactorial_lt_pow_addproof · cited by 0