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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  ⊢  
  : , : , :
1reference11  ⊢  
2instantiation17, 37, 4, 5, 6, 7  ⊢  
  : , : , : , :
3instantiation8, 9, 10  ⊢  
  :
4instantiation23  ⊢  
  : , :
5instantiation23  ⊢  
  : , :
6instantiation11, 12, 13  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.numerals.decimals.mult_2_2
8theorem  ⊢  
 proveit.numbers.division.frac_cancel_complete
9instantiation35, 28, 14  ⊢  
  : , : , :
10instantiation15, 16  ⊢  
  :
11axiom  ⊢  
 proveit.logic.equality.equals_transitivity
12instantiation17, 37, 18, 19, 20, 21  ⊢  
  : , : , : , :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.add_2_2
14instantiation35, 31, 22  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
16theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat4
17axiom  ⊢  
 proveit.core_expr_types.operations.operands_substitution
18instantiation23  ⊢  
  : , :
19instantiation23  ⊢  
  : , :
20instantiation24, 26  ⊢  
  :
21instantiation25, 26  ⊢  
  :
22instantiation35, 33, 27  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24theorem  ⊢  
 proveit.numbers.multiplication.elim_one_left
25theorem  ⊢  
 proveit.numbers.multiplication.elim_one_right
26instantiation35, 28, 29  ⊢  
  : , : , :
27instantiation35, 36, 30  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
29instantiation35, 31, 32  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
31theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
32instantiation35, 33, 34  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
34instantiation35, 36, 37  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2