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Theorem equality-def

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

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: div-def-01, div-pos-def, root-is-irrational,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 6
Used lemmas: equality-02, equality-01, equal-same, int2rat-equal,
Used spec theorems:
- Used simplifier rules:
  - int-abs/forward-le-05