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Heyting algebra

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Summary

A bounded lattice with an implication operation right-adjoint to meet.

Record metadata

Carrier(s)

Data

Axioms / constraints

Concept sources

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Bounded distributive latticeHeyting algebra

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Require every meet map aa\wedge - to have a right adjoint aa\to -.

How to interpret this relation type

Keep the existing data and select the subclass satisfying an additional law, existence condition, finiteness condition, or other property.

Relation sources

Frame / complete Heyting algebraHeyting algebra

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

A frame canonically has Heyting implication given by the right adjoint to finite meet.

How to interpret this relation type

Pass canonically from a stronger object to structure it determines, or forget part of the data while retaining a valid weaker structure. The carrier may change under a canonical induced construction.

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No direct relations are authored in this direction.