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Step * 1 2 1 1 1 of Lemma no-excluded-middle-using-partial2

.....assertion..... 
1. ∀P:ℙ. ((↓P) ∨ (¬P))
2. h : n:partial(ℤ) ⟶ {b:𝔹| ↑b ⇐⇒ (n)↓} 
3. value-type(ℤ)
⊢ fix((λx.if h x then ⊥ else 0 fi )) ∈ partial(ℤ)
BY
{ TACTIC:(BLemma `fix_wf_partial` THEN Auto) }

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Latex:

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Latex:
.....assertion..... 
1.  \mforall{}P:\mBbbP{}.  ((\mdownarrow{}P)  \mvee{}  (\mneg{}P))
2.  h  :  n:partial(\mBbbZ{})  {}\mrightarrow{}  \{b:\mBbbB{}|  \muparrow{}b  \mLeftarrow{}{}\mRightarrow{}  (n)\mdownarrow{}\} 
3.  value-type(\mBbbZ{})
\mvdash{}  fix((\mlambda{}x.if  h  x  then  \mbot{}  else  0  fi  ))  \mmember{}  partial(\mBbbZ{})


By

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Latex:
TACTIC:(BLemma  `fix\_wf\_partial`  THEN  Auto)

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