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Theorem equality-01

rational(i, j) = rational(i0, j0), 0 < j, 0 < j0 ⊦ i * j0 = i0 * j

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: add-eq, equality-def,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 15
Proof steps: 19
Used lemmas: numerator-pos, numerator-zero-den, denominator-zero-den, num-zero, numerator-zero, denominator-zero, denominator-pos, Equality,
Used spec theorems:
Used simplifier rules: