Theorems · Theorem · number theory
Nat.log_one_right
∀ (b : ℕ), Nat.log b 1 = 0
- Defined in
- Mathlib.Data.Nat.Log
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- lt_or_geproof · cited by 182
- Nat.logstatement · cited by 101
- Nat.log_eq_zero_iffproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- Int.log_of_right_le_oneproof · cited by 8
- isPrimePow_nat_iff_bounded_log_minFacproof · cited by 2
- padicValRat_two_harmonicproof · cited by 2
- Int.clog_of_right_le_oneproof · cited by 2
- Int.log_one_rightproof · cited by 0