Step
*
of Lemma
test-recursion-extract
∀k:ℕ. ∀f:ℕ ⟶ ℚ. ((∃n:ℕk. ((f n) = 0 ∈ ℚ)) ∨ True)
BY
{ (GeneralInductionOnNat⋅ THENA Auto) }
1
1. k : ℕ
2. ∀k1:ℕk. ∀f:ℕ ⟶ ℚ. ((∃n:ℕk1. ((f n) = 0 ∈ ℚ)) ∨ True)
⊢ ∀f:ℕ ⟶ ℚ. ((∃n:ℕk. ((f n) = 0 ∈ ℚ)) ∨ True)
Latex:
Latex:
\mforall{}k:\mBbbN{}. \mforall{}f:\mBbbN{} {}\mrightarrow{} \mBbbQ{}. ((\mexists{}n:\mBbbN{}k. ((f n) = 0)) \mvee{} True)
By
Latex:
(GeneralInductionOnNat\mcdot{} THENA Auto)
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