Lectures onType Theory
Checked extension edges
appendix sectionsignatures

Checked extension edges

TΠ2T0.

Inclusion of a literal subsignature; no metatheorem is transported upward.

T0Thott.

Add axiomatic univalence, truncations, and selected HITs. This edge loses judgmental canonicity for closed stuck transports.

T0TTobs.

Replace the equality architecture; this is not established as a conservative extension.

De Morgan Cartesian cubical.

A comparison of Kan presentations under additional connection/diagonal hypotheses, not an unconditional signature inclusion.

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