Nuprl Lemma : pscm-ap-comp-term-sq2
∀[s1,s2,t:Top]. (((t)s2)s1 ~ (t)s2 o s1)
Proof
Definitions occuring in Statement :
pscm-ap-term: (t)s,
pscm-comp: G o F,
it: ⋅,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
top: Top
Lemmas referenced :
pscm-comp-term,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesisEquality,
hypothesis,
sqequalAxiom,
sqequalRule,
because_Cache
Latex:
\mforall{}[s1,s2,t:Top]. (((t)s2)s1 \msim{} (t)s2 o s1)
Date html generated:
2018_05_22-PM-10_04_43
Last ObjectModification:
2018_05_20-PM-09_49_18
Theory : presheaf!models!of!type!theory
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