Step
*
1
1
of Lemma
rdiv_functionality_wrt_rleq2
.....rw func antecedent.....
1. x : ℝ
2. y : ℝ
3. z : ℝ
4. w : ℝ
5. r0 < y
6. (r0 ≤ x) ∨ (r0 ≤ z)
7. y ≤ w
8. x ≤ z
⊢ ((r0 ≤ y) ∧ (r0 ≤ z)) ∨ ((r0 ≤ z) ∧ (r0 ≤ w))
BY
{ (ParallelOp -3 THEN Auto) }
Latex:
Latex:
.....rw func antecedent.....
1. x : \mBbbR{}
2. y : \mBbbR{}
3. z : \mBbbR{}
4. w : \mBbbR{}
5. r0 < y
6. (r0 \mleq{} x) \mvee{} (r0 \mleq{} z)
7. y \mleq{} w
8. x \mleq{} z
\mvdash{} ((r0 \mleq{} y) \mwedge{} (r0 \mleq{} z)) \mvee{} ((r0 \mleq{} z) \mwedge{} (r0 \mleq{} w))
By
Latex:
(ParallelOp -3 THEN Auto)
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