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Theorem square-neq-pos

⊦ prime(i) ∧ 0 < j ∧ 0 ≤ j0 → j * j ≠ i * j0 * j0

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: square-neq-prime,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 14
Proof steps: 20
Used lemmas: gcd-nls-zero, div-gcd-not-neg, gcd-div-gcd, gcd-zero-03, gcd-com, gcd-zero-04, gcd-div-shift, square-neq-pos-h,
Used spec theorems:
- int-mult/commutativity
Used simplifier rules: