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Theorems · Theorem · real analysis

EReal.top_add_iff_ne_bot

∀ {x : EReal}, ⊤ + x = ⊤ ↔ x ≠ ⊥

For any extended real number x, the sum of and x is equal to if and only if x is not .

Defined in
Mathlib.Data.EReal.Operations
Cited by
1 results in Mathlib
Foundations
Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound

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