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Theorem modprime
⊦ prime(n) ↔ 1 < n ∧ (∀ m. 2 ≤ m ∧ m < n → n % m ≠ 0)
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: 14
Used lemmas:
divi-zero-01
,
divi-mod
,
divi-mult
,
Prime
,
Used spec theorems:
Used simplifier rules:
nat
/
fle-01
nat
/
not-zero
nat-div
/
div-elim
nat-basic1
/
f
nat-mult
/
one-01
nat-basic1
/
zero
nat-mult
/
zero-06
nat-mult
/
eq-same
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
add-base
nat-mult
/
ls-04
nat-basic1
/
one
nat-mult
/
mult-a
nat-mult
/
mult-c
nat-div
/
mod-mult-01
nat
/
lels-01
nat-basic1
/
twols-02