Nuprl Lemma : pscm-id-adjoin-ap
∀X,u,I,a:Top. (([u])a ~ (a;u I a))
Proof
Definitions occuring in Statement :
pscm-id-adjoin: [u],
psc-adjoin-set: (v;u),
pscm-ap: (s)x,
top: Top,
all: ∀x:A. B[x],
apply: f a,
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
pscm-ap: (s)x,
pscm-id-adjoin: [u],
pscm-adjoin: (s;u),
pscm-id: 1(X),
psc-adjoin-set: (v;u),
member: t ∈ T
Lemmas referenced :
istype-top
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation_alt,
sqequalRule,
because_Cache,
inhabitedIsType,
hypothesisEquality,
cut,
introduction,
extract_by_obid,
hypothesis
Latex:
\mforall{}X,u,I,a:Top. (([u])a \msim{} (a;u I a))
Date html generated:
2020_05_20-PM-01_28_05
Last ObjectModification:
2020_01_04-PM-00_20_58
Theory : presheaf!models!of!type!theory
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