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defn: suplattices, basic covers #336

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defn: suplattices, basic covers #336

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plt-amy
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@plt-amy plt-amy commented Jan 5, 2024

Defines suplattices and suplattice morphisms and basic covers following this paper. I want to get to the tensor product of suplattices before this PR is mergeable but I have a terrible headache so let's try tomorrow.

@Lavenza
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Lavenza commented Jan 5, 2024

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The notion of basic cover we formalise is from the work of Ciraulo,
Maietti and Sambin [-@CMS:2012], who investigate it in a *predicative*
context. While the 1Lab globally assumes [[propositional resizing]],
relieving us of the predicativity concerns, the presentation by of
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relieving us of the predicativity concerns, the presentation by of
relieving us of the predicativity concerns, the presentation of

Comment on lines +29 to +31
Unlike with the tangible difference [[join]] and [[meet]] semilattices,
even as objects, a partially ordered set is an inf-lattice precisely if
it is a [[suplattice]]. This module is dedicated to recording that fact,
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I feel like this sentence is missing a word or something. Also we should link to join- and meet-semilattices, not joins and meets.

Base automatically changed from lattice-refactor to main January 12, 2024 23:41
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4 participants