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Theorem abs

j ≠ 0 ⊦ abs(i / j) = abs(i) / abs(j)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: abs-01, abs-02, abs-03, div-nearer-zero,
Used by units in proved state: int-pot, int-gcd,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 8
Used lemmas: div-zero-nls, div-zero-ngr-01, div-lezero, div-elim3, Div-right, neg-01,
Used spec theorems:
- int-abs/Abs-pos
Used simplifier rules: