Theorems · Theorem · number theory
Nat.log_of_lt
∀ {b n : ℕ}, n < b → Nat.log b n = 0- Defined in
- Mathlib.Data.Nat.Log
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.logstatement · cited by 101
- Nat.log.goproof · cited by 7
- Nat.log.go.fun_cases_unfoldingproof · cited by 1
- Nat.log.fun_cases_unfoldingproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Nat.log_div_baseproof · cited by 3
- Nat.factorization_lcmUptoproof · cited by 3
- Nat.log_eq_of_pow_le_of_lt_powproof · cited by 2
- Nat.log_div_mul_selfproof · cited by 1