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Theorems · Theorem · field theory

Real.add_neg_lt_sSup

∀ {s : Set ℝ}, s.Nonempty → ∀ {ε : ℝ}, ε < 0 → ∃ a ∈ s, sSup s + ε < a
Defined in
Mathlib.Algebra.Order.Archimedean.Real.Basic
Cited by
1 results in Mathlib
Foundations
Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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exists_isMIntegralCurve_of_isMIntegralCurveOn · cited by 0exists_isMIntegralCurve_o…Set · cited by 53352SetReal · cited by 25697RealSet.Nonempty · cited by 2627Set.NonemptySupSet.sSup · cited by 954SupSet.sSupexists_lt_of_lt_csSup · cited by 13exists_lt_of_lt_csSupadd_lt_iff_neg_left · cited by 2add_lt_iff_neg_leftReal.add_neg_lt_sSupCITED BYCITES

Cites6

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Cited by1

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