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Proof step 14 from proof even-sum (previous step)

(even(i) ∧ even(i0) ∨ odd(i) ∧ odd(i0)) ∧ (even(i1) ∧ even(i2) ∨ odd(i1) ∧ odd(i2)) ∨ (odd(i) ∧ even(i0) ∨ even(i) ∧ odd(i0)) ∧ odd(i1 ^2 + i2 ^2) ⊦ ∃ i3, i4, i5, i6. even(i3 + i4) ∧ even(i5 + i6) ∧ i3 ^2 + i4 ^2 + i5 ^2 + i6 ^2 = (i ^2 + i0 ^2) + i1 ^2 + i2 ^2

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-min inst: name: odd-add seq: ⊦ odd(i + j) ↔ odd(i) ∧ even(j) ∨ even(i) ∧ odd(j) subst: [j, i] → [i2 ^2, i1 ^2] flags: rewrite

Additional information

Used terms: i2 ^2, i1 ^2