Step
*
of Lemma
rmul-one
∀[x:ℝ]. ((x * r1) = x)
BY
{ (Auto
THEN (BLemma `req-iff-bdd-diff` THENA Auto)
THEN (RWO "rmul-bdd-diff-reg-seq-mul" 0 THENA Auto)
THEN RepUR ``reg-seq-mul int-to-real bdd-diff`` 0⋅
THEN With ⌜0⌝ (D 0)⋅
THEN Auto
THEN RW IntNormC 0
THEN Auto) }
1
1. x : ℝ
2. n : ℕ+@i
⊢ |((-1) * (x n)) + ((2 * n * (x n)) ÷ 2 * n)| ≤ 0
Latex:
Latex:
\mforall{}[x:\mBbbR{}]. ((x * r1) = x)
By
Latex:
(Auto
THEN (BLemma `req-iff-bdd-diff` THENA Auto)
THEN (RWO "rmul-bdd-diff-reg-seq-mul" 0 THENA Auto)
THEN RepUR ``reg-seq-mul int-to-real bdd-diff`` 0\mcdot{}
THEN With \mkleeneopen{}0\mkleeneclose{} (D 0)\mcdot{}
THEN Auto
THEN RW IntNormC 0
THEN Auto)
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