Theorems · Theorem · order theory
DirSupInacc.inter
∀ {α : Type u_1} {s t : Set α} [inst : Preorder α], DirSupInacc s → DirSupInacc t → DirSupInacc (s ∩ t)- Defined in
- Mathlib.Order.DirSupClosed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
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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
- Preorderstatement and proof · cited by 7,952
- DirSupInaccstatement and proof · cited by 23
- isLowerSet_univproof · cited by 8
- DirSupInacc.dirSupInaccOnproof · cited by 3
- DirSupInaccOn.interproof · cited by 1
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