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Proof step 3 from proof test-div-04 (previous step)

⊦ div(mkDecimal(5540535, 4), mkDecimal(45, 4), 0) = mkDecimal(123123, 0)

User applied rule insert lemma

And obtained the following new goals

Proof step 4:
⊦ dec_j | dec_i → div(dec_i, dec_j, i) * dec_j = dec_i
Proof step 5:
mkDecimal(45, 4) | mkDecimal(5540535, 4) → div(mkDecimal(5540535, 4), mkDecimal(45, 4), 0) * mkDecimal(45, 4) = mkDecimal(5540535, 4) ⊦ div(mkDecimal(5540535, 4), mkDecimal(45, 4), 0) = mkDecimal(123123, 0)

Rule argument

spec: inst: name: div-exact-def seq: ⊦ dec_j | dec_i → div(dec_i, dec_j, i) * dec_j = dec_i subst: [dec_j, dec_i, i] → [mkDecimal(45, 4), mkDecimal(5540535, 4), 0] flags: current, []

Additional information

Used terms: mkDecimal(45, 4), mkDecimal(5540535, 4), 0