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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
2reference45  ⊢  
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
9instantiation43, 18, 15  ⊢  
  : , : , :
10instantiation43, 18, 16  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
12theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
13instantiation43, 18, 17  ⊢  
  : , : , :
14instantiation43, 18, 19  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.physics.quantum.QPE._phase_is_real
16instantiation43, 21, 20  ⊢  
  : , : , :
17instantiation43, 21, 22  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
19instantiation43, 23, 24  ⊢  
  : , : , :
20instantiation43, 26, 25  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
22instantiation43, 26, 36  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
25instantiation43, 27, 28  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
27instantiation29, 30, 31  ⊢  
  : , :
28assumption  ⊢  
29theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
30theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
31instantiation32, 33, 34  ⊢  
  : , :
32theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
33instantiation35, 36, 37  ⊢  
  : , :
34instantiation38, 39  ⊢  
  :
35theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
36instantiation43, 44, 40  ⊢  
  : , : , :
37instantiation43, 41, 42  ⊢  
  : , : , :
38theorem  ⊢  
 proveit.numbers.negation.int_closure
39instantiation43, 44, 45  ⊢  
  : , : , :
40theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
41theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
42axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
43theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
45theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1