Step
*
of Lemma
CV_wf
∀[A:Type]. ∀[F:t:ℕ ⟶ (ℕt ⟶ A) ⟶ A]. (CV(F) ∈ ℕ ⟶ A)
BY
{ (Auto THEN Assert ⌜∀t:ℕ. (CV(F) ∈ ℕt ⟶ A)⌝⋅) }
1
.....assertion.....
1. A : Type
2. F : t:ℕ ⟶ (ℕt ⟶ A) ⟶ A
⊢ ∀t:ℕ. (CV(F) ∈ ℕt ⟶ A)
2
1. A : Type
2. F : t:ℕ ⟶ (ℕt ⟶ A) ⟶ A
3. ∀t:ℕ. (CV(F) ∈ ℕt ⟶ A)
⊢ CV(F) ∈ ℕ ⟶ A
Latex:
Latex:
\mforall{}[A:Type]. \mforall{}[F:t:\mBbbN{} {}\mrightarrow{} (\mBbbN{}t {}\mrightarrow{} A) {}\mrightarrow{} A]. (CV(F) \mmember{} \mBbbN{} {}\mrightarrow{} A)
By
Latex:
(Auto THEN Assert \mkleeneopen{}\mforall{}t:\mBbbN{}. (CV(F) \mmember{} \mBbbN{}t {}\mrightarrow{} A)\mkleeneclose{}\mcdot{})
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