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Theorem even-add

⊦ (i + j) % 2 = 0 ↔ i % 2 = 0 ∧ j % 2 = 0 ∨ i % 2 ≠ 0 ∧ j % 2 ≠ 0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 17
Proof steps: 34
Used lemmas: even-not-ex, mod-two-02, modex,
Used spec theorems:
- int-mult/dist-lsplit
Used simplifier rules: