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Proof step 2 from proof neq-5-not-even (previous step)

~5 = 2 * i ⊦

User applied rule insert lemma

And obtained the following new goals

Proof step 3:
⊦ 2 * i ≠ 2 * j + 1

Rule argument

spec: int-mult inst: name: odd-even seq: ⊦ 2 * i ≠ 2 * j + 1 subst: [i, j] → [i, ~3] flags: current, []

Additional information

Used simplifier rules: associativity: ⊦ i * j * j0 = (i * j) * j0;%commutativity: ⊦ i * j = j * i;%add-a: ⊦ i + j + i0 = (i + j) + i0; from specification int-basic2%add-c: ⊦ i + j = j + i; from specification int-basic2 Used terms: i, ~3