logo

Show the Proof

In [1]:
import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof
Out[1]:
 step typerequirementsstatement
0instantiation1, 2, 3  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.equals_transitivity
2instantiation4, 5, 6, 9, 7*  ⊢  
  : , : , :
3instantiation8, 9  ⊢  
  :
4theorem  ⊢  
 proveit.numbers.division.frac_cancel_left
5instantiation29, 11, 10  ⊢  
  : , : , :
6instantiation29, 11, 12  ⊢  
  : , : , :
7instantiation13, 14  ⊢  
  :
8theorem  ⊢  
 proveit.numbers.division.frac_one_denom
9instantiation29, 19, 15  ⊢  
  : , : , :
10instantiation29, 17, 16  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
12instantiation29, 17, 18  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.multiplication.elim_one_right
14instantiation29, 19, 20  ⊢  
  : , : , :
15instantiation21, 22  ⊢  
  :
16instantiation29, 24, 23  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
18instantiation29, 24, 25  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
20instantiation26, 27, 28  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_is_real
22theorem  ⊢  
 proveit.physics.quantum.QPE._best_floor_is_int
23instantiation29, 30, 28  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
25instantiation29, 30, 31  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
27instantiation32, 33  ⊢  
  : , :
28theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
29theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
31theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
32theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
33theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements