Nuprl Lemma : path-eta-1
∀[G,pth:Top]. ((path-eta(pth))[1(𝕀)] ~ pth @ 1(𝕀))
Proof
Definitions occuring in Statement :
path-eta: path-eta(pth),
cubicalpath-app: pth @ r,
interval-1: 1(𝕀),
csm-id-adjoin: [u],
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,
top: Top
Lemmas referenced :
path-eta-id-adjoin,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
sqequalTransitivity,
computationStep,
isectElimination,
thin,
isect_memberEquality,
voidElimination,
voidEquality,
hypothesis,
isect_memberFormation,
sqequalAxiom,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[G,pth:Top]. ((path-eta(pth))[1(\mBbbI{})] \msim{} pth @ 1(\mBbbI{}))
Date html generated:
2017_01_10-AM-08_54_43
Last ObjectModification:
2017_01_02-AM-10_12_58
Theory : cubical!type!theory
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