Nuprl Lemma : nc-e'-1
∀[I,i,j:Top]. (1,i=j ~ e(i;j))
Proof
Definitions occuring in Statement :
nc-e': g,i=j,
nc-e: e(i;j),
nh-id: 1,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
nc-e: e(i;j),
nh-id: 1,
nc-e': g,i=j
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
hypothesis,
sqequalAxiom,
lemma_by_obid,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[I,i,j:Top]. (1,i=j \msim{} e(i;j))
Date html generated:
2016_05_18-PM-00_03_12
Last ObjectModification:
2015_12_28-PM-03_05_05
Theory : cubical!type!theory
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