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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.addition.subtraction.pos_difference
2instantiation3, 24, 4, 5, 6, 7*  ⊢  
  : , : , :
3theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
4theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
5instantiation39, 27, 8  ⊢  
  : , : , :
6instantiation9, 10, 11  ⊢  
  : , : , :
7instantiation12, 13, 14  ⊢  
  : , : , :
8instantiation39, 32, 15  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
10theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
11instantiation16, 33, 26, 22  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
13instantiation17, 19  ⊢  
  :
14instantiation18, 19, 20  ⊢  
  : , :
15instantiation39, 21, 22  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
17theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
18theorem  ⊢  
 proveit.numbers.addition.commutation
19instantiation39, 23, 24  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
21instantiation25, 33, 26  ⊢  
  : , :
22assumption  ⊢  
23theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
24instantiation39, 27, 28  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
26instantiation29, 30, 31  ⊢  
  : , :
27theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
28instantiation39, 32, 33  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
30instantiation39, 34, 35  ⊢  
  : , : , :
31instantiation36, 37  ⊢  
  :
32theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
33instantiation39, 40, 38  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
35theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
36theorem  ⊢  
 proveit.numbers.negation.int_closure
37instantiation39, 40, 41  ⊢  
  : , : , :
38theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
39theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
41theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements