nLab
Initiality Project - Pi-types
Initiality Project - -types
Initiality Project - -types
This page is part of the Initiality Project.
Here we collect all the rules, definitions, and inductive clauses that pertains specifically to -types.
Raw syntax
operator | sort | vars | type args | term args | scoping | sugared syntax |
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| | | , | | | |
| | | , | | , | |
| | | , | , | | |
Type theory
Semantics
include Initiality Project - Semantics - Pi-types
Partial interpretation
include Initiality Project - Partial Interpretation - Pi-types?
Preservation of substitution
include Initiality Project - Substitution - Pi-types?
Totality
include Initiality Project - Totality - Pi-types?
The Term Model
TODO: Prove that the term model category with families has -type structure.
Interpretation functor
include Initiality Project - Functor - Pi-types?
Uniqueness
include Initiality Project - Uniqueness - Pi-types?
Last revised on October 28, 2018 at 19:41:09.
See the history of this page for a list of all contributions to it.