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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,  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.multiplication.disassociation
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3reference34  ⊢  
4reference39  ⊢  
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation10  ⊢  
  : , :
7theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
8instantiation37, 12, 11  ⊢  
  : , : , :
9instantiation37, 12, 13  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11instantiation37, 15, 14  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
13instantiation37, 15, 16  ⊢  
  : , : , :
14instantiation37, 18, 17  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
16instantiation37, 18, 19  ⊢  
  : , : , :
17instantiation37, 21, 20  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
19instantiation37, 21, 22  ⊢  
  : , : , :
20assumption  ⊢  
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