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Step * of Lemma concat-lifting-loc-3-strict

∀[f,i:Top]. ∀[b,b':bag(Top)].
  ((concat-lifting-loc-3(f) i {} b b' ~ {})
  ∧ (concat-lifting-loc-3(f) i b {} b' ~ {})
  ∧ (concat-lifting-loc-3(f) i b b' {} ~ {}))
BY
{ (Auto
   THEN (InstLemma `concat-lifting-3-strict` [⌜f i⌝;⌜b⌝;⌜b'⌝]⋅ THENA Auto)
   THEN All (RepUR ``concat-lifting-3 concat-lifting-loc-3 concat-lifting3-loc``)
   THEN All (RepUR ``concat-lifting-loc concat-lifting3``)
   THEN Auto) }

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Latex:

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Latex:
\mforall{}[f,i:Top].  \mforall{}[b,b':bag(Top)].
    ((concat-lifting-loc-3(f)  i  \{\}  b  b'  \msim{}  \{\})
    \mwedge{}  (concat-lifting-loc-3(f)  i  b  \{\}  b'  \msim{}  \{\})
    \mwedge{}  (concat-lifting-loc-3(f)  i  b  b'  \{\}  \msim{}  \{\}))


By

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Latex:
(Auto
  THEN  (InstLemma  `concat-lifting-3-strict`  [\mkleeneopen{}f  i\mkleeneclose{};\mkleeneopen{}b\mkleeneclose{};\mkleeneopen{}b'\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  All  (RepUR  ``concat-lifting-3  concat-lifting-loc-3  concat-lifting3-loc``)
  THEN  All  (RepUR  ``concat-lifting-loc  concat-lifting3``)
  THEN  Auto)

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