Step
*
of Lemma
m-regularize_wf
∀[X:Type]. ∀[d:metric(X)]. ∀[s:ℕ ⟶ X]. (m-regularize(d;s) ∈ ℕ ⟶ X)
BY
{ (Auto THEN (FunExt THENW Auto) THEN (Assert m-regularize(d;s) ∈ ℕx + 1 ⟶ X BY Auto) THEN Auto) }
Latex:
Latex:
\mforall{}[X:Type]. \mforall{}[d:metric(X)]. \mforall{}[s:\mBbbN{} {}\mrightarrow{} X]. (m-regularize(d;s) \mmember{} \mBbbN{} {}\mrightarrow{} X)
By
Latex:
(Auto THEN (FunExt THENW Auto) THEN (Assert m-regularize(d;s) \mmember{} \mBbbN{}x + 1 {}\mrightarrow{} X BY Auto) THEN Auto)
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