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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, ,  ⊢  
  :
1theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_is_int_neg
2instantiation44, 17, 34,  ⊢  
  : , :
3instantiation4, 22, 5, 6, 7, 8*, ,  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
5instantiation51, 28, 9  ⊢  
  : , : , :
6instantiation10, 22  ⊢  
  :
7instantiation11, 12, 13,  ⊢  
  : , : , :
8instantiation14, 15, 16  ⊢  
  : , :
9instantiation51, 33, 17  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.negation.real_closure
11theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
12instantiation18, 42  ⊢  
  : , :
13instantiation19, 37, 20*,  ⊢  
  :
14theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_reverse
15instantiation51, 21, 22  ⊢  
  : , : , :
16instantiation23  ⊢  
  :
17instantiation51, 24, 25  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.logic.booleans.conjunction.right_from_and
19theorem  ⊢  
 proveit.physics.quantum.QPE._modabs_in_full_domain_simp
20instantiation26, 27  ⊢  
  :
21theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
22instantiation51, 28, 29  ⊢  
  : , : , :
23axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
24instantiation39, 46, 30  ⊢  
  : , :
25assumption  ⊢  
26theorem  ⊢  
 proveit.numbers.absolute_value.abs_neg_elim
27instantiation31, 32  ⊢  
  : , :
28theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
29instantiation51, 33, 34  ⊢  
  : , : , :
30instantiation44, 48, 35  ⊢  
  : , :
31theorem  ⊢  
 proveit.numbers.ordering.relax_less
32assumption  ⊢  
33theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
34instantiation51, 36, 37  ⊢  
  : , : , :
35instantiation47, 38  ⊢  
  :
36instantiation39, 40, 48  ⊢  
  : , :
37instantiation41, 42  ⊢  
  : , :
38instantiation51, 49, 43  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
40instantiation44, 45, 46  ⊢  
  : , :
41theorem  ⊢  
 proveit.logic.booleans.conjunction.left_from_and
42assumption  ⊢  
43theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
44theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
45instantiation47, 48  ⊢  
  :
46instantiation51, 49, 50  ⊢  
  : , : , :
47theorem  ⊢  
 proveit.numbers.negation.int_closure
48instantiation51, 52, 53  ⊢  
  : , : , :
49theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
50theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
51theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
53theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements