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Proof step 2 from proof prime-not-odd (previous step)

prime(j) ⊦ j = 2, odd(j)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: int-min inst: name: not-odd-ex seq: ⊦ ¬ odd(i) ↔ (∃ j. i = j + j) subst: [i] → [j] flags: rewrite

Additional information

Used simplifier rules: prime-two: ⊦ prime(2 * j) ↔ j = 1;%add-mult-two: ⊦ i + i = 2 * i; from specification int-mult%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%add-c: ⊦ i + j = j + i; from specification int-basic2%eq-same-02: ⊦ 0 < i → (i * j = i ↔ j = 1); from specification int-mult%associativity: ⊦ i * j * j0 = (i * j) * j0; from specification int-mult%commutativity: ⊦ i * j = j * i; from specification int-mult Used terms: j