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Proof step 14 from proof equal-minus-one (previous step)

i ^ j = ~1 ⊦ i = 0, i = ~1, j = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ i < 0 → j ^ i = 1 / j ^ abs(i)
Proof step 16:
i ^ j = ~1 ⊦ i = ~1, i = 0, j = 0, j < 0
Proof step 30:
1 / i ^ abs(j) = ~1, j < 0 ⊦ i = ~1, i = 0, j = 0

Rule argument

spec: <toplevel> name: Pot-neg seq: ⊦ i < 0 → j ^ i = 1 / j ^ abs(i) subst: [i, j] → [j, i] flags: <all paths>

Additional information

Used terms: j, i