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Proof step 8 from proof Diffie-Hellman (previous step)

prime(j), i < j, i1 < j, i3 < j, 1 < i, 0 < i, 1 < j, 0 < i1, 0 < i3, 0 < j, 0 ≤ i3, 0 ≤ i1 ⊦ (i ^ i1) ^ i3 |%| j = (i ^ i3) ^ i1 |%| j

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-pot inst: name: pot-pot seq: 0 ≤ i, 0 ≤ j, 0 ≤ j0 ⊦ (i ^ j) ^ j0 = i ^ (j * j0) subst: [j0, j, i] → [i3, i1, i] flags: rewrite

Additional information

Used simplifier rules: zero-gels-04: ⊦ i ≤ 0 ∧ 0 ≤ j → i ≤ j; from specification int-abs%lels-01: ⊦ ¬ i ≤ j ↔ j < i; from specification int-abs%ls-01: ⊦ i < j → ¬ j < i; from specification int-basic1 Used terms: i3, i1, i