Mathlib Map

Theorems · Theorem · field theory

Real.sInf_univ

sInf Set.univ = 0
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

Dashed lines are statement dependencies; solid lines are citations in proofs.

ArchimedeanClass.stdPart_eq_sInf · cited by 1ArchimedeanClass.stdPart_…Real · cited by 25697RealSet.univ · cited by 3945Set.univInfSet.sInf · cited by 935InfSet.sInfneg_zero · cited by 542neg_zeroReal.sSup_empty · cited by 17Real.sSup_emptycsInf_of_not_bddBelow · cited by 8csInf_of_not_bddBelowReal.sInf_univCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.