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Theorem diveq-pos

0 ≤ i0 * j + j0, 0 ≤ j0, j0 < j ⊦ (i0 * j + j0) / j = i0

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: div-add-pos, div-elim-pos, modeq-pos,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas: Div-def,
Used spec theorems:
- int-mult/modlsp-02
- int-mult/modlep
Used simplifier rules: