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Theorem absa

⊦ i ≤ 0 ∧ 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:
Used by units in proved state: int-gcd,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 4
Used lemmas: Abs-pos, abseq, sub-add, sub-add-01, sub-zero, forward-le-02, sub-eq, Minus-def, abs-08, le-def,
Used spec theorems:
- Used simplifier rules: