Step
*
of Lemma
evodd-enum-surjection
Surj(ℕ;b:𝔹 × (pw-evenodd() b);λn.evodd-enum(n))
BY
{ ((D 0 THENA Auto) THEN D -1 THEN Reduce 0 THEN RepeatFor 2 (MoveToConcl (-1))) }
1
∀b1:𝔹. ∀b2:pw-evenodd() b1. ∃a:ℕ. (evodd-enum(a) = <b1, b2> ∈ (b:𝔹 × (pw-evenodd() b)))
Latex:
Latex:
Surj(\mBbbN{};b:\mBbbB{} \mtimes{} (pw-evenodd() b);\mlambda{}n.evodd-enum(n))
By
Latex:
((D 0 THENA Auto) THEN D -1 THEN Reduce 0 THEN RepeatFor 2 (MoveToConcl (-1)))
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