Theorems · Theorem · order theory
LowerSet.compl_inf
∀ {α : Type u_1} [inst : LE α] (s t : LowerSet α), (s ⊓ t).compl = s.compl ⊓ t.compl- Defined in
- Mathlib.Order.UpperLower.CompleteLattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LE
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- UpperSetstatement · cited by 245
- LowerSetstatement and proof · cited by 230
- UpperSet.extproof · cited by 29
- LowerSet.complstatement · cited by 17
- compl_infproof · cited by 12
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