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Proof step 8 from proof prime-317 (previous step)

317 % i = 0, 1 < i, 0 < i, i < 18, i * i ≤ 317 ⊦

User applied rule apply lemma

And obtained the following new goals

Proof step 9:
10 ≤ i, i < 20 ⊦ i = 10 ∨ i = 11 ∨ i = 12 ∨ i = 13 ∨ i = 14 ∨ i = 15 ∨ i = 16 ∨ i = 17 ∨ i = 18 ∨ i = 19
Proof step 10:
317 % i = 0, i < 18, 0 < i, 1 < i, i * i ≤ 317 ⊦ 10 ≤ i ∧ i < 20

Rule argument

spec: <toplevel> name: case-20 seq: 10 ≤ i, i < 20 ⊦ i = 10 ∨ i = 11 ∨ i = 12 ∨ i = 13 ∨ i = 14 ∨ i = 15 ∨ i = 16 ∨ i = 17 ∨ i = 18 ∨ i = 19 subst: [i] → [i]

Additional information

Used terms: i