Nuprl Lemma : csm-cubical-fst
∀[p,s:Top].  ((p.1)s ~ (p)s.1)
Proof
Definitions occuring in Statement : 
cubical-fst: p.1
, 
csm-ap-term: (t)s
, 
uall: ∀[x:A]. B[x]
, 
top: Top
, 
sqequal: s ~ t
Definitions unfolded in proof : 
csm-ap-term: (t)s
, 
csm-ap: (s)x
, 
cubical-fst: p.1
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
Lemmas referenced : 
top_wf
Rules used in proof : 
sqequalSubstitution, 
sqequalRule, 
sqequalReflexivity, 
sqequalTransitivity, 
computationStep, 
isect_memberFormation, 
introduction, 
cut, 
sqequalAxiom, 
extract_by_obid, 
hypothesis, 
sqequalHypSubstitution, 
isect_memberEquality, 
isectElimination, 
thin, 
hypothesisEquality, 
because_Cache
Latex:
\mforall{}[p,s:Top].    ((p.1)s  \msim{}  (p)s.1)
Date html generated:
2018_05_23-PM-06_31_01
Last ObjectModification:
2018_05_20-PM-04_17_51
Theory : cubical!sets
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