Step
*
of Lemma
rmin-int
∀[a,b:ℤ]. (rmin(r(a);r(b)) = r(imin(a;b)))
BY
{ ((Auto THEN (BLemma `req-iff-bdd-diff` THENA Auto))
THEN BLemma `trivial-bdd-diff`
THEN Auto
THEN RepUR ``int-to-real rmin`` 0) }
1
1. a : ℤ
2. b : ℤ
3. n : ℕ+
⊢ imin(2 * n * a;2 * n * b) = (2 * n * imin(a;b)) ∈ ℤ
Latex:
Latex:
\mforall{}[a,b:\mBbbZ{}]. (rmin(r(a);r(b)) = r(imin(a;b)))
By
Latex:
((Auto THEN (BLemma `req-iff-bdd-diff` THENA Auto))
THEN BLemma `trivial-bdd-diff`
THEN Auto
THEN RepUR ``int-to-real rmin`` 0)
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