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Proof step 8 from proof prime-1259 (previous step)

1259 % i = 0, 1 < i, 0 < i, i < 36, i * i ≤ 1259 ⊦

User applied rule apply lemma

And obtained the following new goals

Proof step 9:
30 ≤ i, i < 40 ⊦ i = 30 ∨ i = 31 ∨ i = 32 ∨ i = 33 ∨ i = 34 ∨ i = 35 ∨ i = 36 ∨ i = 37 ∨ i = 38 ∨ i = 39
Proof step 10:
1259 % i = 0, i < 36, 0 < i, 1 < i, i * i ≤ 1259 ⊦ 30 ≤ i ∧ i < 40

Rule argument

spec: <toplevel> name: case-40 seq: 30 ≤ i, i < 40 ⊦ i = 30 ∨ i = 31 ∨ i = 32 ∨ i = 33 ∨ i = 34 ∨ i = 35 ∨ i = 36 ∨ i = 37 ∨ i = 38 ∨ i = 39 subst: [i] → [i]

Additional information

Used terms: i