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Theorem mult-02

⊦ 0 ≤ i0 ∧ i0 < j ∧ 0 ≤ i ∧ 0 < j0 → (i * j + i0) / (j0 * j) = i / j0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: div-div-pos, div-shift-two, div-two-intro, div-twoodd, div-twoodd-06, mult-03,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 8
Used lemmas: div-elim-pos,
Used spec theorems:
- int-mult/modeqp-copied
- int-mult/mods-ls-02
Used simplifier rules: