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Proof step 12 from proof prime-163 (previous step)

i ≠ 13 -1, 163 % i = 0, i * i ≤ 163, 0 < i, 1 < i, i < 13 -1 ⊦ 2 ≤ i ∧ i < 10

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: forward-le-01: ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j; (forward) from specification int-abs%numleledel-01: i0 ≠ 0, i0 ≤ i ⊦ (* i) ≤ j → (* i0) ≤ j; from specification int-abs%lels: ⊦ ¬ i < j ↔ j ≤ i; from specification int-abs%numlsledel-01: i0 ≠ 0, i0 < i ⊦ (* i) ≤ j → (* i0) < j; from specification int-abs%lf-02: ⊦ i < j ∧ j = i0 → i < i0; (forward) from specification int-basic1%commutativity: ⊦ i * j = j * i; from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%one-01: ⊦ i = 1 → i * j = j; from specification int-mult%one-01: ⊦ i = 1 → j % i = 0; from specification int-div%two-ls: ⊦ 0 < j → (j < 2 ↔ j = 1); from specification int-basic1%lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs