Nuprl Lemma : sigma-unelim-p-type
∀[T:Top]. (((T)p)SigmaUnElim ~ ((T)p)p)
Proof
Definitions occuring in Statement :
sigma-unelim-csm: SigmaUnElim,
cc-fst: p,
csm-ap-type: (AF)s,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
csm-ap-type: (AF)s,
pscm-ap-type: (AF)s,
csm-ap: (s)x,
pscm-ap: (s)x,
cc-fst: p,
psc-fst: p,
sigma-unelim-csm: SigmaUnElim,
sigma-unelim-pscm: SigmaUnElim,
cc-adjoin-cube: (v;u),
psc-adjoin-set: (v;u)
Lemmas referenced :
ps-sigma-unelim-p-type
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalRule,
sqequalReflexivity,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
hypothesis
Latex:
\mforall{}[T:Top]. (((T)p)SigmaUnElim \msim{} ((T)p)p)
Date html generated:
2018_05_23-AM-09_10_10
Last ObjectModification:
2018_05_20-PM-06_09_47
Theory : cubical!type!theory
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