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Step * of Lemma F-bisimulation_wf

∀[F:Type ⟶ Type]. ∀[R:corec(T.F[T]) ⟶ corec(T.F[T]) ⟶ ℙ].
  x,y.R[x;y] is an T.F[T]-bisimulation ∈ ℙ' supposing ContinuousMonotone(T.F[T])
BY
{ TACTIC:(Auto
          THEN (FLemma `corec-ext` [-1] THENA Auto)
          THEN ProveWfLemma
          THEN (SubsumeC ⌜F[corec(T.F[T])]⌝⋅ THEN Try (BackThruSomeHyp') THEN Auto)⋅) }

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Latex:

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Latex:
\mforall{}[F:Type  {}\mrightarrow{}  Type].  \mforall{}[R:corec(T.F[T])  {}\mrightarrow{}  corec(T.F[T])  {}\mrightarrow{}  \mBbbP{}].
    x,y.R[x;y]  is  an  T.F[T]-bisimulation  \mmember{}  \mBbbP{}'  supposing  ContinuousMonotone(T.F[T])


By

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Latex:
TACTIC:(Auto
                THEN  (FLemma  `corec-ext`  [-1]  THENA  Auto)
                THEN  ProveWfLemma
                THEN  (SubsumeC  \mkleeneopen{}F[corec(T.F[T])]\mkleeneclose{}\mcdot{}  THEN  Try  (BackThruSomeHyp')  THEN  Auto)\mcdot{})

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