Nuprl Lemma : cc-snd-1
∀[X:Top]. ((q)[1(𝕀)] ~ 1(𝕀))
Proof
Definitions occuring in Statement :
interval-1: 1(𝕀),
csm-id-adjoin: [u],
cc-snd: q,
csm-ap-term: (t)s,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
interval-1: 1(𝕀),
cc-snd: q,
csm-id-adjoin: [u],
csm-ap-term: (t)s,
csm-id: 1(X),
csm-adjoin: (s;u),
csm-ap: (s)x,
pi2: snd(t),
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
sqequalRule,
isect_memberFormation,
introduction,
cut,
sqequalAxiom,
extract_by_obid,
hypothesis
Latex:
\mforall{}[X:Top]. ((q)[1(\mBbbI{})] \msim{} 1(\mBbbI{}))
Date html generated:
2017_01_10-AM-08_44_02
Last ObjectModification:
2017_01_02-PM-03_09_39
Theory : cubical!type!theory
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