Theorems · Theorem · general topology
ENNReal.continuous_truncateToReal
∀ {t : ENNReal}, t ≠ ⊤ → Continuous t.truncateToRealThe truncated cast ENNReal.truncateToReal t : ℝ≥0∞ → ℝ is continuous when t ≠ ∞.
- Cited by
- 2 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- Continuousstatement · cited by 2,592
- continuous_id'proof · cited by 295
- continuous_constproof · cited by 278
- ContinuousOn.comp_continuousproof · cited by 21
- ENNReal.truncateToRealstatement · cited by 7
- Continuous.minproof · cited by 5
- ENNReal.continuousOn_toRealproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.liminf_toReal_eqproof · cited by 1
- ENNReal.limsup_toReal_eqproof · cited by 0