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Theorem root-is-irrational

⊦ ri * ri = rational(j, 1) → (∃ i. j = i * i)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas: equality-def, mult-def-03, denom-id, num-id, equal-same, mult-comm, mult-ass, int-mult, zero-def, exrat-gcd1,
Used spec theorems:
- int-gcd/square-neq-any
Used simplifier rules: