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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, 7, 8, 9, 10*  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.association
2reference38  ⊢  
3reference43  ⊢  
4axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
5instantiation11  ⊢  
  : , :
6theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7instantiation41, 29, 12  ⊢  
  : , : , :
8reference24  ⊢  
9reference23  ⊢  
10instantiation13, 14, 15  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12instantiation16, 17, 18  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
14instantiation19, 23, 20, 21  ⊢  
  : , : , :
15instantiation22, 23, 24  ⊢  
  : , :
16theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
17instantiation25, 26  ⊢  
  : , :
18theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
19theorem  ⊢  
 proveit.numbers.addition.subtraction.subtract_from_add_reversed
20instantiation41, 29, 27  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.numerals.decimals.add_1_1
22theorem  ⊢  
 proveit.numbers.addition.commutation
23instantiation41, 29, 28  ⊢  
  : , : , :
24instantiation41, 29, 30  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
27instantiation41, 33, 31  ⊢  
  : , : , :
28instantiation41, 33, 32  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
30instantiation41, 33, 34  ⊢  
  : , : , :
31instantiation41, 36, 40  ⊢  
  : , : , :
32instantiation41, 36, 35  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
34instantiation41, 36, 37  ⊢  
  : , : , :
35instantiation41, 42, 38  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
37instantiation39, 40  ⊢  
  :
38theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
39theorem  ⊢  
 proveit.numbers.negation.int_closure
40instantiation41, 42, 43  ⊢  
  : , : , :
41theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
43theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements