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Proof step 1 from proof Diffie-Hellman (conclusion)

i2 = i ^ i1 |%| j, i4 = i ^ i3 |%| j, prime(j), 1 < i, i < j, 0 < i1, i1 < j, 0 < i3, i3 < j ⊦ i2 ^ i3 |%| j = i4 ^ i1 |%| j

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
prime(j), i < j, i1 < j, i3 < j, 1 < i, 0 < i, 1 < j, 0 < i1, 0 < i3, 0 < j ⊦ (i ^ i1 |%| j) ^ i3 |%| j = (i ^ i3 |%| j) ^ i1 |%| j

Rule argument

Additional information

Used simplifier rules: forward-le-05: ⊦ i < j ∧ 0 ≤ i → 0 < j; (forward) from specification int-abs%transitivity: ⊦ i < i0 ∧ i0 < i1 → i < i1; (forward) from specification oelem[intlista]%forward-pos: ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j; (forward) from specification int-basic1