Real.exists_isGLB

∀ {s : Set ℝ}, s.Nonempty → BddBelow s → ∃ x, IsGLB s x

A nonempty, bounded below set of real numbers has a greatest lower bound.

Defined in: Mathlib.Algebra.Order.Archimedean.Real.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound

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