Nuprl Lemma : pscm-ap-comp-type-sq
∀[Gamma,Delta,Z,s1,s2,A:Top]. ((A)s2 o s1 ~ ((A)s2)s1)
Proof
Definitions occuring in Statement :
pscm-ap-type: (AF)s,
pscm-comp: G o F,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
pscm-comp-type,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
sqequalAxiom,
sqequalRule,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[Gamma,Delta,Z,s1,s2,A:Top]. ((A)s2 o s1 \msim{} ((A)s2)s1)
Date html generated:
2018_05_22-PM-10_03_42
Last ObjectModification:
2018_05_20-PM-09_48_09
Theory : presheaf!models!of!type!theory
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