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


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