Regular hyperdoctrines are equivalently described as lax symmetric monoidal pseudo double functors from spans to quintets whose monoidal laxators provide companion commuter cells.
Propositional logics for the L awvere quantale
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Double-functorial representation of regular hyperdoctrines
Regular hyperdoctrines are equivalently described as lax symmetric monoidal pseudo double functors from spans to quintets whose monoidal laxators provide companion commuter cells.