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Theorem prime-product-between
⊦ primes(ints) ∧ j + 2 ≤ min(ints) ∧ max(ints) ≤ j * 2 + 1 ∧ ¬ dups(ints) ∧ 0 < j → Π ints ≤ 4 ^ j
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
prime-product
,
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:
coef-le-2pot
,
coef-product-le
,
Used spec theorems:
int-pot
/
pot-pot-02
Used simplifier rules:
int-abs
/
forward-le-05
intlist
/
primes-in
intlist
/
min-in-not-ls
int-abs
/
forward-lels
intlist
/
max-in-not-ls
int-abs
/
forward-lele
int-abs
/
forward-lsle
int-abs
/
lels-03
int-abs
/
lels-01
int-basic1
/
ls-01