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  ⊢  
  : , :
1reference6  ⊢  
2instantiation6, 4, 5  ⊢  
  : , :
3instantiation6, 7, 8  ⊢  
  : , :
4instantiation36, 11, 9  ⊢  
  : , : , :
5instantiation36, 11, 10  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
7theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
8instantiation36, 11, 12  ⊢  
  : , : , :
9instantiation36, 16, 13  ⊢  
  : , : , :
10instantiation36, 14, 15  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
12instantiation36, 16, 17  ⊢  
  : , : , :
13instantiation36, 19, 18  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
17instantiation36, 19, 20  ⊢  
  : , : , :
18instantiation36, 37, 21  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
20instantiation36, 22, 23  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
22instantiation24, 25, 26  ⊢  
  : , :
23instantiation27, 28, 33  ⊢  
  : , :
24theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
25theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
26instantiation29, 30, 31  ⊢  
  : , :
27theorem  ⊢  
 proveit.numbers.modular.mod_natpos_in_interval
28assumption  ⊢  
29theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
30instantiation36, 32, 33  ⊢  
  : , : , :
31instantiation34, 35  ⊢  
  :
32theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
33theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
34theorem  ⊢  
 proveit.numbers.negation.int_closure
35instantiation36, 37, 38  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
38theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1