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Theorems · Theorem · general topology

ENNReal.continuous_truncateToReal

∀ {t : ENNReal}, t ≠ ⊤ → Continuous t.truncateToReal

The truncated cast ENNReal.truncateToReal t : ℝ≥0∞ → ℝ is continuous when t ≠ ∞.

Defined in
Mathlib.Topology.Instances.ENNReal.Lemmas
Cited by
2 results in Mathlib
Foundations
Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound

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