Nuprl Lemma : pscm-adjoin-ap
∀[sigma,u,I,del:Top]. (((sigma;u))del ~ ((sigma)del;(u)del))
Proof
Definitions occuring in Statement :
pscm-adjoin: (s;u),
psc-adjoin-set: (v;u),
pscm-ap: (s)x,
uall: ∀[x:A]. B[x],
top: Top,
sqequal: s ~ t
Definitions unfolded in proof :
pscm-ap: (s)x,
psc-adjoin-set: (v;u),
pscm-adjoin: (s;u),
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
sqequalAxiom,
extract_by_obid,
hypothesis,
sqequalHypSubstitution,
isect_memberEquality,
isectElimination,
thin,
hypothesisEquality,
because_Cache
Latex:
\mforall{}[sigma,u,I,del:Top]. (((sigma;u))del \msim{} ((sigma)del;(u)del))
Date html generated:
2018_05_23-AM-08_12_59
Last ObjectModification:
2018_05_20-PM-09_52_02
Theory : presheaf!models!of!type!theory
Home
Index