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Proof step 11 from proof denom-neg-02 (previous step)
| ⊦ (rational(0, 1) - rational(0, 1)).denom = 1 |
User applied rule insert rewrite lemma
And obtained the following new goals
- Proof step 12:
⊦ 0 < j1 ∧ 0 < j2 → rational(i1, j1) - rational(i2, j2) = rational(i1, j1) + rational(~ i2, j2)
Rule argument
name: sub-def-01 rotate: F subst: [j2, i2, j1, i1] → [1, 0, 1, 0]Additional information
Used simplifier rules:
add-zero-01: ⊦ rational(0, j1) + rational(i0, j0) = rational(i0, j0);%add-asso: ⊦ (ri + rj) + rj0 = ri + rj + rj0;%add-comm: ⊦ ri + rj = rj + ri;%denominator-zero: ⊦ rational(0, j).denom = 1;
Used terms: 1, 0, 1, 0