Step
*
of Lemma
no-halt-decider
¬(∃h:partial(ℤ) ⟶ 𝔹. (h 0 = tt ∧ h ⊥ = ff))
BY
{ Assert ⌜⊥ ∈ partial(ℤ)⌝⋅ }
1
.....assertion.....
⊥ ∈ partial(ℤ)
2
1. ⊥ ∈ partial(ℤ)
⊢ ¬(∃h:partial(ℤ) ⟶ 𝔹. (h 0 = tt ∧ h ⊥ = ff))
Latex:
Latex:
\mneg{}(\mexists{}h:partial(\mBbbZ{}) {}\mrightarrow{} \mBbbB{}. (h 0 = tt \mwedge{} h \mbot{} = ff))
By
Latex:
Assert \mkleeneopen{}\mbot{} \mmember{} partial(\mBbbZ{})\mkleeneclose{}\mcdot{}
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