Theorems · Theorem · order theory
codisjoint_sInf_right
∀ {α : Type u_1} [inst : CompleteLattice α] {a : Set α} {b : α},
Codisjoint b (sInf a) → ∀ {i : α}, i ∈ a → Codisjoint b i- Defined in
- Mathlib.Order.CompleteLattice.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
- Assumes
- CompleteLattice
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Cites9
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
- CompleteLatticestatement and proof · cited by 1,048
- InfSet.sInfstatement and proof · cited by 935
- Codisjointstatement and proof · cited by 197
- LE.le.trans'proof · cited by 140
- codisjoint_iff_le_supproof · cited by 15
- Codisjoint.top_leproof · cited by 9
- le_iInf₂_iffproof · cited by 7
- sup_sInf_le_iInf_supproof · cited by 1
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