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Theorems · Definition · real analysis

EReal.expOrderIso

EReal ≃o ENNReal

EReal.exp and its inverse ENNReal.log are an order isomorphism between EReal and ℝ≥0∞.

Defined in
Mathlib.Analysis.SpecialFunctions.Log.ENNRealLogExp
Cited by
4 results in Mathlib
Foundations
Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ENNReal.continuous_exp · cited by 4ENNReal.continuous_expEReal.expHomeomorph · cited by 3EReal.expHomeomorphENNReal.logOrderIso_symm · cited by 0ENNReal.logOrderIso_symmEReal.expOrderIso_apply · cited by 0EReal.expOrderIso_applyEReal.expOrderIso_symm · cited by 0EReal.expOrderIso_symmENNReal · cited by 9879ENNRealOrderIso · cited by 874OrderIsoEReal · cited by 793ERealOrderIso.symm · cited by 475OrderIso.symmENNReal.logOrderIso · cited by 8ENNReal.logOrderIsoEReal.expOrderIsoCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.