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Theorem square-prime-eq
⊦ prime(j) ∧ ¬ j | i → i * i ≠ j * j0
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
square-neq-any-pos-02
,
square-neq-pos-h
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas:
div-zero
,
prime-divides
,
div-zero-01
,
divides
,
gcd-com
,
gcd-one-prime
,
coprime-divides-04
,
Used spec theorems:
int-mult
/
eq-nonzero-01
Used simplifier rules:
int-mult
/
zero-eq
int-mult
/
zero-left
int-mult
/
associativity
int-mult
/
commutativity