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Proof step 9 from proof equal-minus-one (previous step)

j % 2 = 0, 1 / ~1 ^ ~ j = ~1, j < 0 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ 0 < j ∧ j % 2 = 0 → ~1 ^ j = 1

Rule argument

spec: <toplevel> name: minus-one-even seq: ⊦ 0 < j ∧ j % 2 = 0 → ~1 ^ j = 1 subst: [j] → [~ j] flags: <all paths>

Additional information

Used simplifier rules: ⊦ 0 < ~ i ↔ i < 0; (s)%j ≠ 0 ⊦ ~ i % j = ~(i % j); (s)% ⊦ ~ i = 0 ↔ i = 0; (s) Used terms: ~ j