Lectures onType Theory
Judgments and contexts
appendix sectionnotation

Judgments and contexts

symbol meaning first
symbol meaning first
Γ ctx Γ is a well-formed context chapter 2
ΓA type A is a type in context Γ chapter 26
Γa:A a has type A under declarations Γ chapter 2
ΓAB type judgmental equality of types chapter 26
Γab:A judgmental equality of terms chapter 26
f:ΘΓΔ relative telescope map over Γ chapter 26
Γγ:Δ substitution from Γ to Δ chapter 54
Γγδ:Δ equality of substitutions chapter 54
TyEqi(A,B) Nuprl-style semantic equality of closed types at stratum i chapter 36
MemEqi(a,b;A) Nuprl-style PER equality of closed members of A chapter 36
Memi(a;A) Nuprl-style closed membership chapter 36
empty context chapter 2

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