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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
2reference29  ⊢  
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
4axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
5instantiation10  ⊢  
  : , :
6theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7instantiation30, 13, 11,  ⊢  
  : , : , :
8instantiation30, 13, 12  ⊢  
  : , : , :
9instantiation30, 13, 14  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11instantiation30, 17, 15,  ⊢  
  : , : , :
12instantiation30, 17, 16  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
14instantiation30, 17, 18  ⊢  
  : , : , :
15instantiation30, 21, 19,  ⊢  
  : , : , :
16instantiation30, 21, 20  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation30, 21, 26  ⊢  
  : , : , :
19instantiation30, 22, 23,  ⊢  
  : , : , :
20instantiation24, 27  ⊢  
  :
21theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
22instantiation25, 26, 27  ⊢  
  : , :
23assumption  ⊢  
24theorem  ⊢  
 proveit.numbers.negation.int_closure
25theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
26instantiation30, 28, 29  ⊢  
  : , : , :
27instantiation30, 31, 32  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
30theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
32assumption  ⊢