Nuprl Lemma : cubical-snd-at
∀[a,I,p:Top]. (p.2(a) ~ snd(p(a)))
Proof
Definitions occuring in Statement :
cubical-snd: p.2
,
cubical-term-at: u(a)
,
uall: ∀[x:A]. B[x]
,
top: Top
,
pi2: snd(t)
,
sqequal: s ~ t
Definitions unfolded in proof :
cubical-term-at: u(a)
,
presheaf-term-at: u(a)
,
cubical-snd: p.2
,
presheaf-snd: p.2
Lemmas referenced :
presheaf-snd-at
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalRule,
sqequalReflexivity,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}[a,I,p:Top]. (p.2(a) \msim{} snd(p(a)))
Date html generated:
2018_05_23-AM-09_00_12
Last ObjectModification:
2018_05_20-PM-06_08_13
Theory : cubical!type!theory
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