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Step * of Lemma lifting-decide-ispair

∀[a,b,c,F,G:Top].
  (case if a is a pair then b otherwise c of inl(x) => F[x] | inr(x) => G[x] ~ if a is a pair then case b
                                                                                of inl(x) =>
                                                                                F[x]
                                                                                | inr(x) =>
                                                                                G[x] otherwise case c
                                                                                of inl(x) =>
                                                                                F[x]
                                                                                | inr(x) =>
                                                                                G[x])
BY
{ ProveLiftingLemma }

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Latex:

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Latex:
\mforall{}[a,b,c,F,G:Top].
    (case  if  a  is  a  pair  then  b  otherwise  c  of  inl(x)  =>  F[x]  |  inr(x)  =>  G[x] 
    \msim{}  if  a  is  a  pair  then  case  b  of  inl(x)  =>  F[x]  |  inr(x)  =>  G[x]  otherwise  case  c
          of  inl(x)  =>
          F[x]
          |  inr(x)  =>
          G[x])


By

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Latex:
ProveLiftingLemma

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