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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  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.equals_transitivity
2instantiation4, 32, 27, 7, 9, 8, 5, 10, 11  ⊢  
  : , : , : , : , : , :
3instantiation6, 7, 27, 8, 9, 10, 11  ⊢  
  : , : , : , :
4theorem  ⊢  
 proveit.numbers.addition.disassociation
5theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
6theorem  ⊢  
 proveit.numbers.addition.elim_zero_any
7axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
8theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9instantiation12  ⊢  
  : , :
10instantiation30, 17, 13  ⊢  
  : , : , :
11instantiation14, 15  ⊢  
  :
12theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13instantiation30, 20, 16  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.negation.complex_closure
15instantiation30, 17, 18  ⊢  
  : , : , :
16instantiation30, 25, 19  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
18instantiation30, 20, 21  ⊢  
  : , : , :
19instantiation22, 23, 24  ⊢  
  : , :
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
21instantiation30, 25, 26  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
23instantiation30, 31, 27  ⊢  
  : , : , :
24instantiation30, 28, 29  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
26instantiation30, 31, 32  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
28theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
29assumption  ⊢  
30theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1