mathlib documentation

order.category.BoundedLattice

The category of bounded lattices #

This file defines BoundedLattice, the category of bounded lattices.

In literature, this is sometimes called Lat, the category of lattices, because being a lattice is understood to entail having a bottom and a top element.

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Construct a bundled BoundedLattice from lattice + bounded_order.

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theorem BoundedLattice.coe_of (α : Type u_1) [lattice α] [bounded_order α] :
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def BoundedLattice.iso.mk {α β : BoundedLattice} (e : α ≃o β) :
α β

Constructs an equivalence between bounded lattices from an order isomorphism between them.

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order_dual as a functor.

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