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Proof step 38 from proof RSA-decrypt-ij-vars (previous step)

1 < i * i0, j < i * i0, 0 < i, 0 < i0, 0 < j, prime(i), prime(i0), 2 < i, 2 < i0 ⊦ i = i0, j = 0, j = j |%| (i * i0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 39:
⊦ 0 ≤ i ∧ i < j → i |%| j = i

Rule argument

spec: inst: name: mod-zero seq: ⊦ 0 ≤ i ∧ i < j → i |%| j = i subst: [j, i] → [i * i0, j] flags: rewrite, current

Additional information

Used simplifier rules: lels-02: ⊦ i ≠ j → (i ≤ j ↔ i < j); from specification int-abs Used terms: i * i0, j