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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, 4, 5, 6*  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
2reference23  ⊢  
3theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
4instantiation38, 26, 7  ⊢  
  : , : , :
5instantiation8, 9, 10  ⊢  
  : , : , :
6instantiation11, 12, 13  ⊢  
  : , : , :
7instantiation38, 31, 14  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
9theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
10instantiation15, 32, 25, 21  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
12instantiation16, 18  ⊢  
  :
13instantiation17, 18, 19  ⊢  
  : , :
14instantiation38, 20, 21  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
16theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
17theorem  ⊢  
 proveit.numbers.addition.commutation
18instantiation38, 22, 23  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
20instantiation24, 32, 25  ⊢  
  : , :
21assumption  ⊢  
22theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
23instantiation38, 26, 27  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
25instantiation28, 29, 30  ⊢  
  : , :
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
27instantiation38, 31, 32  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
29instantiation38, 33, 34  ⊢  
  : , : , :
30instantiation35, 36  ⊢  
  :
31theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
32instantiation38, 39, 37  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
34theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
35theorem  ⊢  
 proveit.numbers.negation.int_closure
36instantiation38, 39, 40  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
38theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
40theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements