Nuprl Lemma : hdf-base-transformation1-base
∀[F:Base]. (hdf-base(m.F[m]) ~ fix((λmk-hdf.(inl (λa.cbva_seq(λx.⊥; λg.<mk-hdf, F[a]> 0))))))
Proof
Definitions occuring in Statement : 
hdf-base: hdf-base(m.F[m]), 
bottom: ⊥, 
uall: ∀[x:A]. B[x], 
so_apply: x[s], 
fix: fix(F), 
lambda: λx.A[x], 
pair: <a, b>, 
inl: inl x, 
natural_number: $n, 
base: Base, 
sqequal: s ~ t, 
cbva_seq: cbva_seq(L; F; m)
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x], 
member: t ∈ T, 
so_lambda: λ2x.t[x], 
top: Top, 
so_apply: x[s]
Latex:
\mforall{}[F:Base].  (hdf-base(m.F[m])  \msim{}  fix((\mlambda{}mk-hdf.(inl  (\mlambda{}a.cbva\_seq(\mlambda{}x.\mbot{};  \mlambda{}g.<mk-hdf,  F[a]>  0))))))
Date html generated:
2016_05_16-AM-10_45_26
Last ObjectModification:
2015_12_28-PM-07_40_35
Theory : halting!dataflow
Home
Index