Step
*
of Lemma
callbyvalueall_seq-partial-ap-all0
∀[L,F:Top]. ∀[m:ℕ].  (callbyvalueall_seq(L;λx.x;F;0;m) ~ callbyvalueall_seq(L;λx.x;λg.(F partial_ap(g;m;m));0;m))
BY
{ ((UnivCD THENA Auto)
   THEN (InstLemma `callbyvalueall_seq-partial-ap-all` [⌜L⌝;⌜λx.x⌝;⌜F⌝;⌜m⌝;⌜0⌝]⋅ THENA Auto)
   THEN RepUR ``mk_applies`` (-1)
   THEN Auto) }
Latex:
Latex:
\mforall{}[L,F:Top].  \mforall{}[m:\mBbbN{}].
    (callbyvalueall\_seq(L;\mlambda{}x.x;F;0;m)  \msim{}  callbyvalueall\_seq(L;\mlambda{}x.x;\mlambda{}g.(F  partial\_ap(g;m;m));0;m))
By
Latex:
((UnivCD  THENA  Auto)
  THEN  (InstLemma  `callbyvalueall\_seq-partial-ap-all`  [\mkleeneopen{}L\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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