Theorems · Definition · general topology
NNReal.powOrderIso
(n : ℕ) → n ≠ 0 → NNReal ≃o NNReal
x ↦ x ^ n as an order isomorphism of ℝ≥0.
- Defined in
- Mathlib.Topology.Instances.NNReal.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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.
- NNRealstatement and proof · cited by 4,310
- OrderIsostatement · cited by 874
- StrictMono.orderIsoOfSurjectiveproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- NNReal.sqrtproof · cited by 91
- ENNReal.powOrderIsoproof · cited by 2
- NNReal.iSup_pow_of_ne_zeroproof · cited by 1