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Proof step 7 from proof test-truncate-01 (previous step)

0 < mkDecimal(314159265358979323844, 20).scale, 2 < mkDecimal(314159265358979323844, 20).scale ⊦ mkDecimal(314159265358979323844, 20).int / 10 ^ (mkDecimal(314159265358979323844, 20).scale - 2) = 314

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).scale = abs(j)
Proof step 9:
¬(314159265358979323844 % 10 = 0 ∧ 20 ≠ 0 ∧ 314159265358979323844 ≠ 0), 0 < abs(20), 2 < abs(20) ⊦ mkDecimal(314159265358979323844, 20).int / 10 ^ (abs(20) - 2) = 314

Rule argument

spec: inst: name: scale-base seq: ⊦ ¬(i % 10 = 0 ∧ j ≠ 0 ∧ i ≠ 0) → mkDecimal(i, j).scale = abs(j) subst: [j, i] → [20, 314159265358979323844] flags: rewrite, current

Additional information

Used terms: 20, 314159265358979323844