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,  ⊢  
  :
1theorem  ⊢  
 proveit.numbers.absolute_value.abs_nonzero_closure
2instantiation3, 4, 5,  ⊢  
  :
3theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
4instantiation41, 6, 7  ⊢  
  : , : , :
5instantiation8, 9,  ⊢  
  : , :
6theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
7instantiation10, 11, 12  ⊢  
  : , :
8theorem  ⊢  
 proveit.numbers.addition.subtraction.nonzero_difference_if_different
9instantiation13, 14, 29, 15,  ⊢  
  : , :
10theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
11instantiation16, 17, 18, 19  ⊢  
  : , : , :
12instantiation20, 21  ⊢  
  :
13theorem  ⊢  
 proveit.physics.quantum.QPE._scaled_delta_b_not_eq_nonzeroInt
14instantiation22, 23, 40, 24  ⊢  
  : , : , : , : , :
15assumption  ⊢  
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
18instantiation41, 26, 25  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
20theorem  ⊢  
 proveit.numbers.negation.real_closure
21instantiation41, 26, 27  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.logic.sets.enumeration.in_enumerated_set
23axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
24theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
25instantiation41, 28, 36  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
27instantiation41, 28, 29  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29instantiation41, 30, 31  ⊢  
  : , : , :
30instantiation32, 33, 38  ⊢  
  : , :
31assumption  ⊢  
32theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
33instantiation34, 35, 36  ⊢  
  : , :
34theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
35instantiation37, 38  ⊢  
  :
36instantiation41, 39, 40  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.numbers.negation.int_closure
38instantiation41, 42, 43  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
40theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
41theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
43theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos