Step
*
1
1
of Lemma
r-strict-bound-property
1. ∀[x:ℝ]. ((r(-r-bound(x)) ≤ x) ∧ (x ≤ r(r-bound(x))))
2. x : ℝ
3. r(-r-bound(x)) ≤ x
4. x ≤ r(r-bound(x))
⊢ r((-r-bound(x)) + (-1)) < x
BY
{ (RWO "radd-int< 3<" 0 THEN Auto) }
1
1. ∀[x:ℝ]. ((r(-r-bound(x)) ≤ x) ∧ (x ≤ r(r-bound(x))))
2. x : ℝ
3. r(-r-bound(x)) ≤ x
4. x ≤ r(r-bound(x))
⊢ (r(-r-bound(x)) + r(-1)) < r(-r-bound(x))
Latex:
Latex:
1. \mforall{}[x:\mBbbR{}]. ((r(-r-bound(x)) \mleq{} x) \mwedge{} (x \mleq{} r(r-bound(x))))
2. x : \mBbbR{}
3. r(-r-bound(x)) \mleq{} x
4. x \mleq{} r(r-bound(x))
\mvdash{} r((-r-bound(x)) + (-1)) < x
By
Latex:
(RWO "radd-int< 3<" 0 THEN Auto)
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