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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, ,  ⊢  
  : , :
1reference34  ⊢  
2instantiation4, 5, 6,  ⊢  
  : , :
3instantiation51, 41, 7  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.addition.add_complex_closure_bin
5instantiation10, 8, 9  ⊢  
  : , : , :
6instantiation10, 11, 12  ⊢  
  : , : , :
7instantiation51, 45, 13  ⊢  
  : , : , :
8instantiation34, 25, 14  ⊢  
  : , :
9instantiation18, 15, 16  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
11instantiation34, 25, 17  ⊢  
  : , :
12instantiation18, 19, 20  ⊢  
  : , : , :
13instantiation51, 49, 21  ⊢  
  : , : , :
14instantiation34, 31, 23  ⊢  
  : , :
15instantiation26, 24, 53, 27, 22, 28, 25, 31, 23  ⊢  
  : , : , : , : , : , :
16instantiation26, 27, 53, 28, 29, 22, 35, 36, 31, 23  ⊢  
  : , : , : , : , : , :
17instantiation34, 31, 32  ⊢  
  : , :
18axiom  ⊢  
 proveit.logic.equality.equals_transitivity
19instantiation26, 24, 53, 27, 30, 28, 25, 31, 32  ⊢  
  : , : , : , : , : , :
20instantiation26, 27, 53, 28, 29, 30, 35, 36, 31, 32  ⊢  
  : , : , : , : , : , :
21assumption  ⊢  
22instantiation37  ⊢  
  : , :
23instantiation51, 41, 33  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
25instantiation34, 35, 36  ⊢  
  : , :
26theorem  ⊢  
 proveit.numbers.multiplication.disassociation
27axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
28theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
29instantiation37  ⊢  
  : , :
30instantiation37  ⊢  
  : , :
31theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
32instantiation51, 41, 38  ⊢  
  : , : , :
33instantiation51, 45, 39  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
35instantiation51, 41, 40  ⊢  
  : , : , :
36instantiation51, 41, 42  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
38instantiation51, 47, 43  ⊢  
  : , : , :
39instantiation51, 49, 44  ⊢  
  : , : , :
40instantiation51, 45, 46  ⊢  
  : , : , :
41theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
42instantiation51, 47, 48  ⊢  
  : , : , :
43assumption  ⊢  
44assumption  ⊢  
45theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
46instantiation51, 49, 50  ⊢  
  : , : , :
47theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
48theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
49theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
50instantiation51, 52, 53  ⊢  
  : , : , :
51theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
53theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2