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Theorem denom-neg

⊦ j < 0 → rational(i, j) = rational(~ i, abs(j))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: add-def-03, factor-rat-02, mult-def-03, negate-01, one,
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: num-neg, denominator-zero, numerator-zero, denominator-pos, Equality,
Used spec theorems:
- Used simplifier rules: