Nuprl Lemma : csm-unglue
∀[phi,w,s,b:Top]. ((unglue(b))s ~ unglue((b)s))
Proof
Definitions occuring in Statement :
unglue-term: unglue(b),
csm-ap-term: (t)s,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
unglue-term: unglue(b),
csm-ap-term: (t)s,
cubical-term-at: u(a),
csm-ap: (s)x
Lemmas referenced :
istype-top
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
hypothesis,
axiomSqEquality,
inhabitedIsType,
hypothesisEquality,
sqequalHypSubstitution,
isect_memberEquality_alt,
isectElimination,
thin,
isectIsTypeImplies,
extract_by_obid
Latex:
\mforall{}[phi,w,s,b:Top]. ((unglue(b))s \msim{} unglue((b)s))
Date html generated:
2020_05_20-PM-05_46_15
Last ObjectModification:
2020_04_21-PM-05_56_24
Theory : cubical!type!theory
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