Nuprl Lemma : csm-cubical-path-app
∀[t,r,s:Top]. ((t @ r)s ~ (t)s @ (r)s)
Proof
Definitions occuring in Statement :
cubical-path-app: pth @ r,
csm-ap-term: (t)s,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
cubical-path-app: pth @ r,
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
csm-cubicalpath-app,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
sqequalAxiom,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[t,r,s:Top]. ((t @ r)s \msim{} (t)s @ (r)s)
Date html generated:
2018_05_23-AM-09_35_15
Last ObjectModification:
2018_05_20-PM-06_37_08
Theory : cubical!type!theory
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