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Proof step 39 from proof even-sum (previous step)

odd(i1), even(i2), odd(i0), even(i) ⊦ ∃ 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 exists right

And obtained the following new goals

Proof step 40:
odd(i1), even(i2), odd(i0), even(i) ⊦ even(i1 + i0) ∧ even(i2 + i) ∧ i1 ^2 + i0 ^2 + i2 ^2 + i ^2 = (i ^2 + i0 ^2) + i1 ^2 + i2 ^2

Rule argument

pos: right 1 terms: i1, i0, i2, i abort: F discard: T computed: F

Additional information

Used terms: i1, i0, i2, i