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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.addition.disassociation
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3reference31  ⊢  
4reference28  ⊢  
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation10  ⊢  
  : , :
7instantiation29, 13, 11  ⊢  
  : , : , :
8instantiation29, 13, 12  ⊢  
  : , : , :
9instantiation29, 13, 14  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11instantiation15, 16, 17  ⊢  
  : , : , :
12instantiation29, 19, 18  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
14instantiation29, 19, 20  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
16instantiation21, 22  ⊢  
  : , :
17theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
18instantiation29, 24, 23  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
20instantiation29, 24, 25  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
23instantiation26, 27  ⊢  
  :
24theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
25instantiation29, 30, 28  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.negation.int_closure
27instantiation29, 30, 31  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
29theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
31theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2