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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  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
2instantiation10, 4, 9  ⊢  
  : , :
3instantiation5, 6, 34, 39, 7, 8, 11, 12, 9  ⊢  
  : , : , : , : , : , :
4instantiation10, 11, 12  ⊢  
  : , :
5theorem  ⊢  
 proveit.numbers.multiplication.disassociation
6axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
7theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8instantiation13  ⊢  
  : , :
9instantiation37, 15, 14  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
11theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
12instantiation37, 15, 16  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14instantiation37, 17, 18  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
16theorem  ⊢  
 proveit.physics.quantum.QPE._phase_is_real
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation37, 19, 20  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
20instantiation37, 21, 22  ⊢  
  : , : , :
21instantiation23, 24, 25  ⊢  
  : , :
22assumption  ⊢  
23theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
24theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
25instantiation26, 27, 28  ⊢  
  : , :
26theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
27instantiation29, 30, 31  ⊢  
  : , :
28instantiation32, 33  ⊢  
  :
29theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
30instantiation37, 38, 34  ⊢  
  : , : , :
31instantiation37, 35, 36  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.negation.int_closure
33instantiation37, 38, 39  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
35theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
36axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
37theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
39theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1