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Theorem two-identity

⊦ (i1 ^2 + i2 ^2) * (j1 ^2 + j2 ^2) = (i1 * j1 + i2 * j2)^2 + (i1 * j2 - i2 * j1)^2

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 5
Used lemmas: two-mult, two-minus, two-plus,
Used spec theorems:
- int-mult/dist-lsplit
- int-mult/dist-rsplit
Used simplifier rules: