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Proof step 3 from proof odd-add (previous step)

⊦ ¬ even(i + j) ↔ odd(i) ∧ even(j) ∨ even(i) ∧ odd(j)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ even(i + j) ↔ even(i) ∧ even(j) ∨ odd(i) ∧ odd(j)
Proof step 5:
⊦ ¬(even(i) ∧ even(j) ∨ odd(i) ∧ odd(j)) ↔ odd(i) ∧ even(j) ∨ even(i) ∧ odd(j)

Rule argument

spec: inst: name: even-add seq: ⊦ even(i + j) ↔ even(i) ∧ even(j) ∨ odd(i) ∧ odd(j) subst: [j, i] → [j, i] flags: rewrite, current

Additional information

Used terms: j, i