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Theorem not-prime

¬ prime(n), 2 ≤ n ⊦ ∃ m. m | n ∧ prime(m) ∧ m * m ≤ n

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 9
Proof steps: 18
Used lemmas: divi-mult-01, divi-mult, Divides, divi-trans, divi-zero-01, divi-ls, Prime,
Used spec theorems:
- Used simplifier rules: