Theorems · Theorem · real analysis
Real.log_one
Real.log 1 = 0
- Cited by
- 91 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Real.logstatement and proof · cited by 939
- Real.expproof · cited by 871
- zero_lt_oneproof · cited by 598
- Real.exp_zeroproof · cited by 81
- Real.exp_logproof · cited by 58
- Real.exp_injectiveproof · cited by 12
Cited by91
Results whose statement or proof uses this declaration.
- Real.log_powproof · cited by 29
- Real.log_neg_iffproof · cited by 7
- Real.logb_oneproof · cited by 7
- Complex.log_oneproof · cited by 7
- Real.log_pos_iffproof · cited by 6
- ENNReal.log_oneproof · cited by 6
- Chebyshev.theta_eq_zero_of_lt_twoproof · cited by 6
- Real.isLittleO_const_log_atTopproof · cited by 5
- Real.log_lt_sub_one_of_posproof · cited by 4
- Real.abs_log_sub_add_sum_range_leproof · cited by 4
- Real.qaryEntropy_twoproof · cited by 4
- ArithmeticFunction.vonMangoldt_apply_oneproof · cited by 4