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, 4, 5, 6, 7  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.division.distribute_frac_through_sum
2theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
3instantiation8  ⊢  
  : , :
4instantiation36, 11, 9  ⊢  
  : , : , :
5instantiation36, 11, 10  ⊢  
  : , : , :
6instantiation36, 11, 12  ⊢  
  : , : , :
7instantiation13, 19  ⊢  
  :
8theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
9instantiation36, 15, 14  ⊢  
  : , : , :
10instantiation36, 15, 16  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
12instantiation17, 18, 19  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
14instantiation36, 21, 20  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
16instantiation36, 21, 22  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
18instantiation23, 24  ⊢  
  : , :
19theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
20theorem  ⊢  
 proveit.physics.quantum.QPE._best_floor_is_int
21theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
22instantiation36, 25, 26  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
25instantiation27, 28, 33  ⊢  
  : , :
26assumption  ⊢  
27theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
28instantiation29, 30, 31  ⊢  
  : , :
29theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
30instantiation32, 33  ⊢  
  :
31instantiation36, 34, 35  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.negation.int_closure
33instantiation36, 37, 38  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
36theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
38theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos