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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.core_expr_types.tuples.general_len
2theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
3instantiation10  ⊢  
  : , :
4instantiation10  ⊢  
  : , :
5instantiation10  ⊢  
  : , :
6instantiation12, 34, 11  ⊢  
  : , : , :
7instantiation12, 27, 13  ⊢  
  : , : , :
8reference11  ⊢  
9reference13  ⊢  
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11instantiation14, 16, 18  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
13instantiation15, 16, 17, 18  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_12
15theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_triple_32
16instantiation32, 20, 19  ⊢  
  : , : , :
17instantiation32, 20, 21  ⊢  
  : , : , :
18instantiation22  ⊢  
  :
19instantiation32, 23, 24  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
21instantiation25, 26, 27  ⊢  
  : , : , :
22axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
24instantiation32, 28, 29  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
26instantiation30, 31  ⊢  
  : , :
27assumption  ⊢  
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29instantiation32, 33, 34  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_within_real
32theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
*equality replacement requirements