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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.multiplication.disassociation
2reference48  ⊢  
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
4axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
5instantiation11  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7instantiation12, 13, 14  ⊢  
  : , :
8theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
9instantiation46, 18, 15  ⊢  
  : , : , :
10instantiation46, 18, 16  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
12theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
13instantiation46, 18, 17  ⊢  
  : , : , :
14instantiation46, 18, 19  ⊢  
  : , : , :
15instantiation46, 22, 20  ⊢  
  : , : , :
16instantiation46, 22, 21  ⊢  
  : , : , :
17instantiation46, 22, 23  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
19instantiation46, 24, 25  ⊢  
  : , : , :
20instantiation46, 28, 26  ⊢  
  : , : , :
21instantiation46, 28, 27  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
23instantiation46, 28, 39  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
26instantiation46, 30, 29  ⊢  
  : , : , :
27instantiation46, 30, 31  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29assumption  ⊢  
30instantiation32, 33, 34  ⊢  
  : , :
31assumption  ⊢  
32theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
33theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
34instantiation35, 36, 37  ⊢  
  : , :
35theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
36instantiation38, 39, 40  ⊢  
  : , :
37instantiation41, 42  ⊢  
  :
38theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
39instantiation46, 47, 43  ⊢  
  : , : , :
40instantiation46, 44, 45  ⊢  
  : , : , :
41theorem  ⊢  
 proveit.numbers.negation.int_closure
42instantiation46, 47, 48  ⊢  
  : , : , :
43theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
44theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
45axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
46theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
48theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1