Lectures onType Theory
Dependent and computed-equality distinctions
appendix sectionnotation

Dependent and computed-equality distinctions

form semantic role owner / collision
form semantic role owner / collision
T0 full intensional base of Chapters 70–74 chapter 26; never the normalization fragment
TΠ2 structural, dependent-product, and Boolean normalization fragment convention 49.8; not T0
TH universe-free Hofmann core used for the ETT inhabitation comparison definition 35.26; not T0
IdA(a,b) intensional identity type chapter 30; not observational equality or cubical path
aAb observational equality code at A chapter 79; not homotopy
PathPi.A(a,b) cubical path in a line of types chapter 80; dimension binder i
Γφ true proof-irrelevant cofibration truth chapter 81; not an inhabited object type
coei.Ars(a) Cartesian coercion in the line i.A definition 81.7; source and target are explicit

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