Step
*
1
1
2
1
of Lemma
enum-fin-seq-true
1. m : ℤ
2. m ≠ 0
3. 0 < m
4. (λx.tt) = enum-fin-seq(m - 1)[0] ∈ (ℕ ⟶ 𝔹)
⊢ (λx.tt) = map(λs,x. if x=m - 1 then tt else (s x);enum-fin-seq(m - 1))[0] ∈ (ℕ ⟶ 𝔹)
BY
{ ((RWO "select-map" 0 THENA Auto) THEN Reduce 0) }
1
1. m : ℤ
2. m ≠ 0
3. 0 < m
4. (λx.tt) = enum-fin-seq(m - 1)[0] ∈ (ℕ ⟶ 𝔹)
⊢ (λx.tt) = (λx.if x=m - 1 then tt else (enum-fin-seq(m - 1)[0] x)) ∈ (ℕ ⟶ 𝔹)
Latex:
Latex:
1. m : \mBbbZ{}
2. m \mneq{} 0
3. 0 < m
4. (\mlambda{}x.tt) = enum-fin-seq(m - 1)[0]
\mvdash{} (\mlambda{}x.tt) = map(\mlambda{}s,x. if x=m - 1 then tt else (s x);enum-fin-seq(m - 1))[0]
By
Latex:
((RWO "select-map" 0 THENA Auto) THEN Reduce 0)
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