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Theorems · Theorem · order theory

Set.OrdConnected.inter

∀ {α : Type u_1} [inst : Preorder α] {s t : Set α}, s.OrdConnected → t.OrdConnected → (s ∩ t).OrdConnected
Defined in
Mathlib.Order.Interval.Set.OrdConnected
Cited by
4 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
Preorder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ordConnected_iff_upperClosure_inter_lowerClosure · cited by 0ordConnected_iff_upperClo…Set.OrdConnected.vadd · cited by 0OrdConnected.vaddSet.OrdConnected.smul · cited by 0OrdConnected.smulSet.OrdConnected.interior · cited by 0OrdConnected.interiorSet · cited by 53352SetPreorder · cited by 7952PreorderSet.OrdConnected · cited by 161Set.OrdConnectedSet.subset_inter · cited by 74Set.subset_interSet.OrdConnected.out · cited by 47OrdConnected.outOrdConnected.interCITED BYCITES

Cites5

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Cited by4

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