Step
*
of Lemma
seq-adjoin-is-seq-add
∀[n:ℕ]. ∀[s:ℕn ⟶ ℕ]. ∀[m:ℕ]. (s.m@n = s++m ∈ (ℕn + 1 ⟶ ℕ))
BY
{ ((UnivCD THENA Auto) THEN RepUR ``seq-adjoin seq-add seq-append`` 0 THEN (EqCD THENA Auto) THEN AutoSplit) }
Latex:
Latex:
\mforall{}[n:\mBbbN{}]. \mforall{}[s:\mBbbN{}n {}\mrightarrow{} \mBbbN{}]. \mforall{}[m:\mBbbN{}]. (s.m@n = s++m)
By
Latex:
((UnivCD THENA Auto)
THEN RepUR ``seq-adjoin seq-add seq-append`` 0
THEN (EqCD THENA Auto)
THEN AutoSplit)
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