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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.numbers.ordering.transitivity_less_less
2instantiation4, 9, 31, 5  ⊢  
  : , : , :
3instantiation16, 6, 7,  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
5theorem  ⊢  
 proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
6instantiation8, 31, 9, 10, 11, 12*  ⊢  
  : , : , :
7instantiation23, 13, 37, 14,  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
9theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
10instantiation46, 34, 15  ⊢  
  : , : , :
11instantiation16, 17, 18  ⊢  
  : , : , :
12instantiation19, 20, 21  ⊢  
  : , : , :
13instantiation36, 22, 40  ⊢  
  : , :
14assumption  ⊢  
15instantiation46, 39, 22  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
17theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
18instantiation23, 40, 33, 29  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
20instantiation24, 26  ⊢  
  :
21instantiation25, 26, 27  ⊢  
  : , :
22instantiation46, 28, 29  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
24theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
25theorem  ⊢  
 proveit.numbers.addition.commutation
26instantiation46, 30, 31  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
28instantiation32, 40, 33  ⊢  
  : , :
29assumption  ⊢  
30theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
31instantiation46, 34, 35  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
33instantiation36, 37, 38  ⊢  
  : , :
34theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
35instantiation46, 39, 40  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
37instantiation46, 41, 42  ⊢  
  : , : , :
38instantiation43, 44  ⊢  
  :
39theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
40instantiation46, 47, 45  ⊢  
  : , : , :
41theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
42theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
43theorem  ⊢  
 proveit.numbers.negation.int_closure
44instantiation46, 47, 48  ⊢  
  : , : , :
45theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
46theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
48theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements