Theorems · Definition · real analysis
ENNReal.neTopEquivNNReal
↑{a | a ≠ ⊤} ≃ NNRealThe set of numbers in ℝ≥0∞ that are not equal to ∞ is equivalent to ℝ≥0.
- Defined in
- Mathlib.Data.ENNReal.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Top.topstatement and proof · cited by 9,680
- Equivstatement · cited by 8,337
- Set.Elemstatement and proof · cited by 7,166
- Set.ofPredstatement and proof · cited by 6,101
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealproof · cited by 1,279
- ENNReal.toNNRealproof · cited by 165
- ENNReal.coe_ne_topproof · cited by 100
- ENNReal.toNNReal_coeproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.cinfi_ne_topproof · cited by 2
- ENNReal.neTopHomeomorphNNRealproof · cited by 0