Theorems · Theorem · real analysis
Real.posLog_apply
∀ {x : ℝ}, x.posLog = max 0 (Real.log x)Definition of the positive part of the logarithm, formulated as a theorem.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
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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.
- Realstatement and proof · cited by 25,697
- Real.logstatement · cited by 939
- Real.posLogstatement · cited by 61
Cited by1
Results whose statement or proof uses this declaration.
- Real.posLog_sub_posLog_invproof · cited by 0