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Proof step 4 from proof dec2int-not-neg (previous step)

mkDecimal(0, 0) ≤ dec, dec.int / 10 ^ dec.scale < 0 ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ 0 ≤ i ∧ 0 < j → ¬ i / j < 0
Proof step 6:
¬(0 ≤ dec.int ∧ 0 < 10 ^ dec.scale), mkDecimal(0, 0) ≤ dec, dec.int / 10 ^ dec.scale < 0 ⊦

Rule argument

spec: int-div inst: name: div-zero-nls seq: ⊦ 0 ≤ i ∧ 0 < j → ¬ i / j < 0 subst: [j, i] → [10 ^ dec.scale, dec.int] flags: rewrite

Additional information

Used terms: 10 ^ dec.scale, dec.int