Theorems · Theorem · real analysis
Real.log_neg_eq_log
∀ (x : ℝ), Real.log (-x) = Real.log x
- Cited by
- 27 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.
Cites5
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
- absproof · cited by 1,814
- Real.logstatement and proof · cited by 939
- abs_negproof · cited by 93
- Real.log_absproof · cited by 17
Cited by27
Results whose statement or proof uses this declaration.
- Real.rpow_def_of_negproof · cited by 7
- Real.abs_rpow_le_abs_rpowproof · cited by 7
- intervalIntegral.intervalIntegrable_rpow'proof · cited by 6
- Real.isLittleO_const_log_atTopproof · cited by 5
- Real.log_intCast_nonnegproof · cited by 4
- Real.binEntropy_neg_of_negproof · cited by 4
- Real.contDiffAt_logproof · cited by 3
- Real.hasStrictDerivAt_logproof · cited by 3
- intervalIntegral.intervalIntegrable_log'proof · cited by 2
- Real.log_neg_of_lt_zeroproof · cited by 2
- tendsto_rpow_atTop_of_base_lt_oneproof · cited by 2
- Real.deriv_log_log_applyproof · cited by 2