Nuprl Lemma : pscm-comp-term
∀[Gamma,Delta,Z,s1,s2,t:Top].  ((t)s2 o s1 ~ ((t)s2)s1)
Proof
Definitions occuring in Statement : 
pscm-ap-term: (t)s
, 
pscm-comp: G o F
, 
uall: ∀[x:A]. B[x]
, 
top: Top
, 
sqequal: s ~ t
Definitions unfolded in proof : 
pscm-ap-term: (t)s
, 
pscm-comp: G o F
, 
pscm-ap: (s)x
, 
compose: f o g
, 
member: t ∈ T
, 
uall: ∀[x:A]. B[x]
Lemmas referenced : 
top_wf
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
sqequalRule, 
cut, 
introduction, 
extract_by_obid, 
hypothesis, 
because_Cache, 
isect_memberFormation, 
sqequalAxiom, 
sqequalHypSubstitution, 
isect_memberEquality, 
isectElimination, 
thin, 
hypothesisEquality
Latex:
\mforall{}[Gamma,Delta,Z,s1,s2,t:Top].    ((t)s2  o  s1  \msim{}  ((t)s2)s1)
Date html generated:
2018_05_22-PM-10_04_37
Last ObjectModification:
2018_05_20-PM-09_49_10
Theory : presheaf!models!of!type!theory
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