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Proof step 8 from proof prime-83 (previous step)

83 % i = 0, 1 < i, 0 < i, i < 10, i * i ≤ 83 ⊦

User applied rule apply lemma

And obtained the following new goals

Proof step 9:
2 ≤ i, i < 10 ⊦ i = 2 ∨ i = 3 ∨ i = 4 ∨ i = 5 ∨ i = 6 ∨ i = 7 ∨ i = 8 ∨ i = 9

Rule argument

spec: <toplevel> name: case-10 seq: 2 ≤ i, i < 10 ⊦ i = 2 ∨ i = 3 ∨ i = 4 ∨ i = 5 ∨ i = 6 ∨ i = 7 ∨ i = 8 ∨ i = 9 subst: [i] → [i]

Additional information

Used simplifier rules: ⊦ i ≤ j ↔ ¬ j < i; (ss)% ⊦ 0 < j → (j < 2 ↔ j = 1); (s)% ⊦ i = 1 → j % i = 0; (s)% ⊦ i = 1 → i * j = j; (s)%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult%forward-le: ⊦ i ≤ j ∧ 0 < i → 0 < j; (forward) from specification int-abs Used terms: i