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Proof step 1 from proof mod-square-10 (conclusion)

⊦ (i * i) % 10 = 0 ↔ i % 10 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
j ≠ 0 ⊦ i % j = 0 ↔ (∃ j0. i = j0 * j)
Proof step 3:
10 ≠ 0 ⊦ (∃ j0. i * i = j0 * 10) ↔ i % 10 = 0

Rule argument

spec: int-div inst: name: modex seq: j ≠ 0 ⊦ i % j = 0 ↔ (∃ j0. i = j0 * j) subst: [j, i] → [10, i * i] flags: rewrite

Additional information

Used terms: 10, i * i