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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,  ⊢  
  : , : , :
1reference18  ⊢  
2instantiation4, 5  ⊢  
  : , :
3instantiation6, 7, 8, 9,  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.addition.subtraction.pos_difference
5instantiation10, 34, 11, 12, 13, 14*  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.interval_cc_lower_bound
7instantiation56, 38, 15  ⊢  
  : , : , :
8instantiation56, 38, 16  ⊢  
  : , : , :
9assumption  ⊢  
10theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
11theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
12instantiation56, 38, 17  ⊢  
  : , : , :
13instantiation18, 19, 20  ⊢  
  : , : , :
14instantiation21, 22, 23  ⊢  
  : , : , :
15instantiation56, 44, 24  ⊢  
  : , : , :
16instantiation56, 44, 25  ⊢  
  : , : , :
17instantiation56, 44, 35  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
19theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
20instantiation26, 46, 47, 41  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
22instantiation27, 29  ⊢  
  :
23instantiation28, 29, 30  ⊢  
  : , :
24instantiation49, 31, 32  ⊢  
  : , :
25instantiation49, 50, 32  ⊢  
  : , :
26theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
27theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
28theorem  ⊢  
 proveit.numbers.addition.commutation
29instantiation56, 33, 34  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
31instantiation49, 35, 46  ⊢  
  : , :
32instantiation56, 36, 37  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
34instantiation56, 38, 39  ⊢  
  : , : , :
35instantiation56, 40, 41  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_int
37instantiation42, 43  ⊢  
  :
38theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
39instantiation56, 44, 46  ⊢  
  : , : , :
40instantiation45, 46, 47  ⊢  
  : , :
41assumption  ⊢  
42theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
43theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
44theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
45theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
46instantiation56, 57, 48  ⊢  
  : , : , :
47instantiation49, 50, 51  ⊢  
  : , :
48theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
49theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
50instantiation56, 52, 53  ⊢  
  : , : , :
51instantiation54, 55  ⊢  
  :
52theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
53theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
54theorem  ⊢  
 proveit.numbers.negation.int_closure
55instantiation56, 57, 58  ⊢  
  : , : , :
56theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
57theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
58theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements