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Step * 1 1 1 2 1 of Lemma uniform-continuity-pi-dec


1. T : Type
2. F : (ℕ ⟶ 𝔹) ⟶ T
3. ∀x,y:T.  Dec(x = y ∈ T)
4. n : ℕ
5. ucA(T;F;n + 1)
6. ucA(T;F;n) ⇐⇒ ucB(T;F;n)
⊢ Dec(ucB(T;F;n))
BY
{ TACTIC:(BLemma `uniform-continuity-pi2-dec-ext` THEN Auto) }

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Latex:

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Latex:

1.  T  :  Type
2.  F  :  (\mBbbN{}  {}\mrightarrow{}  \mBbbB{})  {}\mrightarrow{}  T
3.  \mforall{}x,y:T.    Dec(x  =  y)
4.  n  :  \mBbbN{}
5.  ucA(T;F;n  +  1)
6.  ucA(T;F;n)  \mLeftarrow{}{}\mRightarrow{}  ucB(T;F;n)
\mvdash{}  Dec(ucB(T;F;n))


By

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Latex:
TACTIC:(BLemma  `uniform-continuity-pi2-dec-ext`  THEN  Auto)

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