Theorems · Definition · real analysis
ENNReal.logOrderIso
ENNReal ≃o EReal
ENNReal.log and its inverse EReal.exp are an order isomorphism between ℝ≥0∞ and
EReal.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 178 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.
- ENNRealstatement and proof · cited by 9,879
- OrderIsostatement · cited by 874
- ERealstatement and proof · cited by 793
- ENNReal.logproof · cited by 72
- EReal.expproof · cited by 46
- EReal.log_expproof · cited by 6
- ENNReal.exp_logproof · cited by 1
Cited by10
Results whose statement or proof uses this declaration.
- EReal.expOrderIsoproof · cited by 4
- ENNReal.logHomeomorphproof · cited by 3
- ExpGrowth.expGrowthSup_le_iffproof · cited by 2
- ExpGrowth.expGrowthInf_le_iffproof · cited by 2
- ExpGrowth.le_expGrowthInf_iffproof · cited by 2
- ExpGrowth.le_expGrowthSup_iffproof · cited by 2
- ENNReal.continuous_logproof · cited by 1
- ENNReal.logOrderIso_applystatement · cited by 0
- ENNReal.logOrderIso_symmstatement · cited by 0
- EReal.expOrderIso_symmstatement · cited by 0