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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,  ⊢  
  : , : , :
1reference12  ⊢  
2instantiation4, 27, 5, 6, 7, 8*  ⊢  
  : , : , :
3instantiation19, 9, 33, 10,  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
5theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
6instantiation42, 30, 11  ⊢  
  : , : , :
7instantiation12, 13, 14  ⊢  
  : , : , :
8instantiation15, 16, 17  ⊢  
  : , : , :
9instantiation32, 18, 36  ⊢  
  : , :
10assumption  ⊢  
11instantiation42, 35, 18  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
13theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
14instantiation19, 36, 29, 25  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
16instantiation20, 22  ⊢  
  :
17instantiation21, 22, 23  ⊢  
  : , :
18instantiation42, 24, 25  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
20theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
21theorem  ⊢  
 proveit.numbers.addition.commutation
22instantiation42, 26, 27  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
24instantiation28, 36, 29  ⊢  
  : , :
25assumption  ⊢  
26theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
27instantiation42, 30, 31  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
29instantiation32, 33, 34  ⊢  
  : , :
30theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
31instantiation42, 35, 36  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
33instantiation42, 37, 38  ⊢  
  : , : , :
34instantiation39, 40  ⊢  
  :
35theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
36instantiation42, 43, 41  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
38theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
39theorem  ⊢  
 proveit.numbers.negation.int_closure
40instantiation42, 43, 44  ⊢  
  : , : , :
41theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
42theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
44theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements