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Proof step 2 from proof max_exp-pos-03 (previous step)
| max_exp(i0, j0) + max_exp(i, j) ≤ 0 ⊦ max_exp(i0, j0) = 0 ∧ max_exp(i, j) = 0 |
User applied rule insert rewrite lemma
And obtained the following new goals
- Proof step 3:
⊦ i ≠ j → (i ≤ j ↔ i < j)
- Proof step 4:
¬ max_exp(i0, j0) + max_exp(i, j) ≠ 0, max_exp(i0, j0) + max_exp(i, j) ≤ 0 ⊦ max_exp(i0, j0) = 0 ∧ max_exp(i, j) = 0
Rule argument
spec: int-abs
inst:
name: lels-02
seq: ⊦ i ≠ j → (i ≤ j ↔ i < j)
subst: [j, i] → [0, max_exp(i0, j0) + max_exp(i, j)]
flags: rewriteAdditional information
Used simplifier rules:
max_exp-pos-01: ⊦ ¬ max_exp(i0, j0) + max_exp(i, j) < 0;%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%add-c: ⊦ i + j = j + i; from specification int-basic2
Used terms: 0, max_exp(i0, j0) + max_exp(i, j)