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Proof step 5 from proof notneg-01 (previous step)

i ^ j = 0, 0 < i, 0 ≤ j ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ 0 < j → (i ^ j = 0 ↔ i = 0)

Rule argument

spec: <toplevel> name: zero seq: ⊦ 0 < j → (i ^ j = 0 ↔ i = 0) subst: [j, i] → [j, i] flags: <all paths>

Additional information

Used simplifier rules: Pot-zero: ⊦ j ^ 0 = 1;% ⊦ i < j ↔ ¬ j ≤ i; (ss)% ⊦ i ≤ j → (j ≤ i ↔ i = j); (s)%lf-03: ⊦ i < j ∧ i = i0 → i0 < j; (forward) from specification int-basic1 Used terms: j, i