Nuprl Lemma : csm-path_term
∀[psi,r,s,a,b,w:Top]. ((path_term(psi; w; a; b; r))s ~ path-term(((psi)p)s;(w)s;(a)s;(b)s;((r)p)s))
Proof
Definitions occuring in Statement :
path_term: path_term(phi; w; a; b; r),
path-term: path-term(phi;w;a;b;r),
cc-fst: p,
csm-ap-term: (t)s,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
path_term: path_term(phi; w; a; b; r),
member: t ∈ T,
top: Top
Lemmas referenced :
csm-path-term,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
sqequalRule,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesisEquality,
hypothesis,
because_Cache
Latex:
\mforall{}[psi,r,s,a,b,w:Top]. ((path\_term(psi; w; a; b; r))s \msim{} path-term(((psi)p)s;(w)s;(a)s;(b)s;((r)p)s))
Date html generated:
2018_05_23-AM-11_00_25
Last ObjectModification:
2018_05_20-PM-08_04_08
Theory : cubical!type!theory
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