Theorems · Theorem · order theory
sInf_upperBounds_eq_csSup
Deprecated since 2026-02-01Use sInf_upperBounds_eq_sSup instead.
∀ {α : Type u_1} [inst : CompleteLattice α] (s : Set α), sInf (upperBounds s) = sSup sAlias of sInf_upperBounds_eq_sSup.
- Defined in
- Mathlib.Order.CompleteLattice.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- CompleteLattice
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CompleteLatticestatement · cited by 1,048
- SupSet.sSupstatement · cited by 954
- InfSet.sInfstatement · cited by 935
- upperBoundsstatement · cited by 263
- sInf_upperBounds_eq_sSupproof · cited by 2
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