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  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
2theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
3instantiation4, 5, 6  ⊢  
  : , :
4theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
5instantiation40, 17, 7  ⊢  
  : , : , :
6instantiation8, 9  ⊢  
  :
7instantiation10, 11  ⊢  
  :
8theorem  ⊢  
 proveit.numbers.negation.complex_closure
9instantiation12, 13, 14, 15  ⊢  
  : , :
10theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_is_real
11theorem  ⊢  
 proveit.physics.quantum.QPE._best_floor_is_int
12theorem  ⊢  
 proveit.numbers.division.div_complex_closure
13instantiation40, 17, 16  ⊢  
  : , : , :
14instantiation40, 17, 18  ⊢  
  : , : , :
15instantiation19, 24  ⊢  
  :
16instantiation40, 20, 21  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
18instantiation22, 23, 24  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
21instantiation40, 25, 26  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
23instantiation27, 28  ⊢  
  : , :
24theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
25theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
26instantiation40, 29, 30  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
28theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
29instantiation31, 32, 37  ⊢  
  : , :
30assumption  ⊢  
31theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
32instantiation33, 34, 35  ⊢  
  : , :
33theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
34instantiation36, 37  ⊢  
  :
35instantiation40, 38, 39  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.negation.int_closure
37instantiation40, 41, 42  ⊢  
  : , : , :
38theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
39theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
40theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
42theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos