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Theorems · Theorem · order theory

LowerSet.Iic_inf

∀ {α : Type u_1} [inst : SemilatticeInf α] (a b : α), LowerSet.Iic (a ⊓ b) = LowerSet.Iic a ⊓ LowerSet.Iic b
Defined in
Mathlib.Order.UpperLower.Principal
Cited by
0 results in Mathlib
Foundations
Depth 13 from the axioms · uses propext, Quot.sound
Assumes
SemilatticeInf
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Around this declaration

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

LowerSet.iicInfHom · cited by 2LowerSet.iicInfHomSemilatticeInf · cited by 634SemilatticeInfLowerSet · cited by 230LowerSetLowerSet.Iic · cited by 37LowerSet.IicLowerSet.ext · cited by 29LowerSet.extSet.Iic_inter_Iic · cited by 9Set.Iic_inter_IicLowerSet.Iic_infCITED BYCITES

Cites5

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Cited by1

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