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Theorem square-neq-prime
⊦ prime(i) ∧ (j ≠ 0 ∨ j0 ≠ 0) → j * j ≠ i * j0 * j0
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: 6
Proof steps: 13
Used lemmas:
prime-small
,
square-neq-pos
,
Used spec theorems:
Used simplifier rules:
int-mult
/
commutativity
int-mult
/
associativity
int-abs
/
forward-le-05
int-abs
/
forward-le-02
int-abs
/
le-def
int-abs
/
negle-07
int-basic2
/
add-zero
int-basic2
/
add-a
int-basic2
/
add-c
int-mult
/
minus-left
int-abs
/
neg-02
int-basic1
/
ls-01
int-abs
/
forward-le-04
int-abs
/
lenls
int-abs
/
neg
int-mult
/
zero-eq
int-abs
/
lels-02