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Step * of Lemma callbyvalueall_seq-lambdas-all0

∀[L,G,H,F:Top]. ∀[m:ℕ].
  (callbyvalueall_seq(L;λx.x;λg.(F[λf.G[f]] H[g]);0;m) 
  ~ callbyvalueall_seq(L;λx.x;λg.(F[λf.(g mk_lambdas(G[f];m))] H[g]);0;m))
BY
{ ((UnivCD THENA Auto)
   THEN (InstLemma `callbyvalueall_seq-lambdas-all` [⌜L⌝;⌜G⌝;⌜H⌝;⌜λx.x⌝;⌜F⌝;⌜m⌝;⌜0⌝]⋅ THENA Auto)
   THEN RepUR ``mk_applies`` (-1)
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[L,G,H,F:Top].  \mforall{}[m:\mBbbN{}].
    (callbyvalueall\_seq(L;\mlambda{}x.x;\mlambda{}g.(F[\mlambda{}f.G[f]]  H[g]);0;m) 
    \msim{}  callbyvalueall\_seq(L;\mlambda{}x.x;\mlambda{}g.(F[\mlambda{}f.(g  mk\_lambdas(G[f];m))]  H[g]);0;m))


By

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Latex:
((UnivCD  THENA  Auto)
  THEN  (InstLemma  `callbyvalueall\_seq-lambdas-all`  [\mkleeneopen{}L\mkleeneclose{};\mkleeneopen{}G\mkleeneclose{};\mkleeneopen{}H\mkleeneclose{};\mkleeneopen{}\mlambda{}x.x\mkleeneclose{};\mkleeneopen{}F\mkleeneclose{};\mkleeneopen{}m\mkleeneclose{};\mkleeneopen{}0\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  RepUR  ``mk\_applies``  (-1)
  THEN  Auto)

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