2014-02-06 20:46:47 +00:00
|
|
|
|
Set: pp::colors
|
|
|
|
|
Set: pp::unicode
|
|
|
|
|
Imported 'macros'
|
|
|
|
|
Imported 'tactic'
|
|
|
|
|
Using: Nat
|
|
|
|
|
Defined: dvd
|
|
|
|
|
Proved: dvd_elim
|
|
|
|
|
Proved: dvd_intro
|
|
|
|
|
Proved: dvd_trans
|
|
|
|
|
Defined: prime
|
2014-02-07 01:19:07 +00:00
|
|
|
|
j4.lean:31:5: error: failed to create proof for the following proof state
|
2014-02-06 20:46:47 +00:00
|
|
|
|
Proof state:
|
|
|
|
|
n :
|
|
|
|
|
ℕ,
|
|
|
|
|
H1 :
|
|
|
|
|
n ≥ 2,
|
|
|
|
|
H2 :
|
|
|
|
|
¬ prime n,
|
|
|
|
|
H3 :
|
|
|
|
|
¬ n ≥ 2 ∨ ¬ (∀ (m : ℕ), m | n → m = 1 ∨ m = n),
|
|
|
|
|
H4 :
|
|
|
|
|
¬ ¬ n ≥ 2,
|
|
|
|
|
m :
|
|
|
|
|
ℕ,
|
|
|
|
|
H5 :
|
|
|
|
|
¬ (m | n → m = 1 ∨ m = n)
|
|
|
|
|
⊢ m | n ∧ ¬ (m = 1 ∨ m = n)
|