Step
*
of Lemma
not-ni-eventually-equal-inf
∀[x:ℕ∞]. (¬ni-eventually-equal(x;0∞) 
⇐⇒ x = ∞ ∈ ℕ∞)
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1
1. x : ℕ∞
2. ¬ni-eventually-equal(x;0∞)
⊢ x = ∞ ∈ ℕ∞
2
1. x : ℕ∞
2. x = ∞ ∈ ℕ∞
⊢ ¬ni-eventually-equal(x;0∞)
Latex:
Latex:
\mforall{}[x:\mBbbN{}\minfty{}].  (\mneg{}ni-eventually-equal(x;0\minfty{})  \mLeftarrow{}{}\mRightarrow{}  x  =  \minfty{})
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Latex:
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