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


1. ∀P:ℙ(P ∨ P))
2. n:partial(ℤ) ⟶ {b:𝔹| ↑⇐⇒ (n)↓
⊢ False
BY
(Assert value-type(ℤBY
         Auto) }

1
1. ∀P:ℙ(P ∨ P))
2. n:partial(ℤ) ⟶ {b:𝔹| ↑⇐⇒ (n)↓
3. value-type(ℤ)
⊢ False


Latex:


Latex:

1.  \mforall{}P:\mBbbP{}.  (P  \mvee{}  (\mneg{}P))
2.  h  :  n:partial(\mBbbZ{})  {}\mrightarrow{}  \{b:\mBbbB{}|  \muparrow{}b  \mLeftarrow{}{}\mRightarrow{}  (n)\mdownarrow{}\} 
\mvdash{}  False


By


Latex:
(Assert  value-type(\mBbbZ{})  BY
              Auto)




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