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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.association
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3reference35  ⊢  
4reference32  ⊢  
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation10  ⊢  
  : , :
7instantiation11, 12, 13, 14  ⊢  
  : , :
8reference13  ⊢  
9instantiation33, 17, 15  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11theorem  ⊢  
 proveit.numbers.division.div_complex_closure
12instantiation33, 17, 16  ⊢  
  : , : , :
13instantiation33, 17, 18  ⊢  
  : , : , :
14instantiation19, 20  ⊢  
  :
15instantiation21, 22, 23  ⊢  
  : , : , :
16instantiation33, 25, 24  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
18instantiation33, 25, 26  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
20theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
21theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
22instantiation27, 28  ⊢  
  : , :
23assumption  ⊢  
24instantiation33, 30, 29  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
26instantiation33, 30, 31  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
28theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
29instantiation33, 34, 32  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
31instantiation33, 34, 35  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
33theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2