Nuprl Lemma : pscm-adjoin-comp
∀[Gamma,Delta,X,A,sigma,u,g:Top]. ((sigma;u) o g ~ (sigma o g;(u)g))
Proof
Definitions occuring in Statement :
pscm-adjoin: (s;u),
psc-adjoin: X.A,
pscm-ap-term: (t)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,
pscm-ap-term: (t)s,
pscm-comp: G o F,
pscm-adjoin: (s;u),
pscm-ap: (s)x,
compose: f o g
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
hypothesis,
sqequalAxiom,
extract_by_obid,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[Gamma,Delta,X,A,sigma,u,g:Top]. ((sigma;u) o g \msim{} (sigma o g;(u)g))
Date html generated:
2018_05_23-AM-08_12_55
Last ObjectModification:
2018_05_20-PM-09_51_59
Theory : presheaf!models!of!type!theory
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