Implication Details
Claim: Given a symmetric monoidal category whose underlying category is codistributive, if it is cocartesian, then it is codistributive.
Proof: This follows from the dual implication.
This implication has a dual.
Claim: Given a symmetric monoidal category whose underlying category is codistributive, if it is cocartesian, then it is codistributive.
Proof: This follows from the dual implication.
This implication has a dual.