Step
*
of Lemma
weak-continuity-nat-int
∀F:(ℕ ⟶ ℤ) ⟶ ℕ. ∀f:ℕ ⟶ ℤ. ⇃(∃n:ℕ. ∀g:ℕ ⟶ ℤ. ((f = g ∈ (ℕn ⟶ ℤ))
⇒ ((F f) = (F g) ∈ ℕ)))
BY
{ (InstLemma `weak-continuity-equipollent` [⌜ℤ⌝]⋅ THEN Auto) }
Latex:
Latex:
\mforall{}F:(\mBbbN{} {}\mrightarrow{} \mBbbZ{}) {}\mrightarrow{} \mBbbN{}. \mforall{}f:\mBbbN{} {}\mrightarrow{} \mBbbZ{}. \00D9(\mexists{}n:\mBbbN{}. \mforall{}g:\mBbbN{} {}\mrightarrow{} \mBbbZ{}. ((f = g) {}\mRightarrow{} ((F f) = (F g))))
By
Latex:
(InstLemma `weak-continuity-equipollent` [\mkleeneopen{}\mBbbZ{}\mkleeneclose{}]\mcdot{} THEN Auto)
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