Theorems · Theorem · order theory
sInf_sUnion
∀ {β : Type u_2} [inst : CompleteLattice β] (s : Set (Set β)), sInf (⋃₀ s) = ⨅ t ∈ s, sInf t- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- 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 and proof · cited by 53,352
- iInfstatement · cited by 1,690
- CompleteLatticestatement and proof · cited by 1,048
- InfSet.sInfstatement · cited by 935
- Set.sUnionstatement · cited by 392
- sSup_sUnionproof · cited by 2
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