Nuprl Lemma : normalization-spread2
∀[p,F:Top]. (let a,b = p in F[a;b;p] ~ let a,b = p in F[a;b;<a, b>])
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
top: Top,
so_apply: x[s1;s2;s3],
spread: spread def,
pair: <a, b>,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_apply: x[s1;s2;s3]
Lemmas referenced :
normalization-spread4,
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
sqequalRule,
hypothesis,
sqequalAxiom,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[p,F:Top]. (let a,b = p in F[a;b;p] \msim{} let a,b = p in F[a;b;<a, b>])
Date html generated:
2016_05_13-PM-03_43_26
Last ObjectModification:
2015_12_26-AM-09_52_27
Theory : computation
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