Fix x: collect arrows p : x → y in an outgoing-arrow categoryPathOutZ(x)=Σy:ZHomZ(x,y)Transport along a canonical arrow from the identity case
Emdash · research draftReported computation
Worked example: outgoing-arrow induction
Fix x: collect arrows p : x → y in an outgoing-arrow categoryPathOutZ(x)=Σy:ZHomZ(x,y)Transport along a canonical arrow from the identity case
Reading / practice pause
Emdash · research draftReported computation
Worked example: outgoing-arrow induction
Fix x: collect arrows p : x → y in an outgoing-arrow categoryPathOutZ(x)=Σy:ZHomZ(x,y)Transport along a canonical arrow from the identity case
Emdash · research draftReported computation
Worked example: outgoing-arrow induction
Fix x: collect arrows p : x → y in an outgoing-arrow categoryPathOutZ(x)=Σy:ZHomZ(x,y)Transport along a canonical arrow from the identity case
Reading / practice pause
Emdash · research draftReported computation
The composition motive returns q after p
p:x→y,q:y→z,pathComp(p)[z][q]⇝q∘pReported normal form: first follow p, then follow qTransport, representable action and section evaluation agreeA local regression example, subject to the stated research defects
Emdash · research draftReported computation
The composition motive returns q after p
p:x→y,q:y→z,pathComp(p)[z][q]⇝q∘pReported normal form: first follow p, then follow qTransport, representable action and section evaluation agreeA local regression example, subject to the stated research defects
Reading / practice pause
Emdash · research draftReported computation
The composition motive returns q after p
p:x→y,q:y→z,pathComp(p)[z][q]⇝q∘pReported normal form: first follow p, then follow qTransport, representable action and section evaluation agreeA local regression example, subject to the stated research defects
Emdash · research draftReported computation
The composition motive returns q after p
p:x→y,q:y→z,pathComp(p)[z][q]⇝q∘pReported normal form: first follow p, then follow qTransport, representable action and section evaluation agreeA local regression example, subject to the stated research defects
Reading / practice pause
Emdash · research draftEvidence and limits
Successful examples need rejection boundaries
Wrong category or dependent family → rejectionOpaque higher cells must remain opaqueUnsupported factorizations fail closedBrowser reviewer exposes the same bounded TypeScript path
Emdash · research draftEvidence and limits
Successful examples need rejection boundaries
Wrong category or dependent family → rejectionOpaque higher cells must remain opaqueUnsupported factorizations fail closedBrowser reviewer exposes the same bounded TypeScript path
Reading / practice pause
Emdash · research draftEvidence and limits
Successful examples need rejection boundaries
Wrong category or dependent family → rejectionOpaque higher cells must remain opaqueUnsupported factorizations fail closedBrowser reviewer exposes the same bounded TypeScript path
Emdash · research draftEvidence and limits
Successful examples need rejection boundaries
Wrong category or dependent family → rejectionOpaque higher cells must remain opaqueUnsupported factorizations fail closedBrowser reviewer exposes the same bounded TypeScript path