Theorems · Definition · real analysis
ENNReal.mulLeftOrderIso
(a : ENNReal) → IsUnit a → ENNReal ≃o ENNReal
Left multiplication by a nonzero finite a as an order isomorphism.
- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Equivproof · cited by 8,337
- IsUnitstatement and proof · cited by 1,602
- OrderIsostatement · cited by 874
- IsUnit.unitproof · cited by 252
- Units.mulLeftproof · cited by 6
Cited by5
Results whose statement or proof uses this declaration.
- ENNReal.mul_iSupproof · cited by 13
- ENNReal.mul_iInf'proof · cited by 3
- ENNReal.mulLeftOrderIso_applystatement and proof · cited by 0
- ENNReal.mulLeftOrderIso_symm_applystatement and proof · cited by 0
- ENNReal.mulLeftOrderIso_toEquivstatement and proof · cited by 0