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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  ⊢  
  : , : , : , :
1reference10  ⊢  
2reference11  ⊢  
3instantiation20  ⊢  
  : , :
4instantiation20  ⊢  
  : , :
5instantiation7, 8, 9  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.numerals.decimals.mult_6_3
7axiom  ⊢  
 proveit.logic.equality.equals_transitivity
8instantiation10, 11, 12, 13, 14, 15  ⊢  
  : , : , : , :
9instantiation16, 17, 28, 18, 19  ⊢  
  : , : , :
10axiom  ⊢  
 proveit.core_expr_types.operations.operands_substitution
11theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
12instantiation20  ⊢  
  : , :
13instantiation20  ⊢  
  : , :
14theorem  ⊢  
 proveit.numbers.numerals.decimals.mult_5_3
15instantiation21, 28, 22, 23*  ⊢  
  : , :
16theorem  ⊢  
 proveit.numbers.addition.subtraction.subtract_from_add
17instantiation80, 74, 24  ⊢  
  : , : , :
18instantiation80, 74, 25  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.numerals.decimals.add_9_6
20theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21theorem  ⊢  
 proveit.numbers.multiplication.mult_neg_right
22instantiation80, 74, 26  ⊢  
  : , : , :
23instantiation27, 28  ⊢  
  :
24instantiation80, 76, 29  ⊢  
  : , : , :
25instantiation80, 76, 30  ⊢  
  : , : , :
26instantiation80, 76, 31  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.multiplication.elim_one_right
28instantiation80, 74, 32  ⊢  
  : , : , :
29instantiation80, 78, 33  ⊢  
  : , : , :
30instantiation80, 78, 34  ⊢  
  : , : , :
31instantiation80, 78, 35  ⊢  
  : , : , :
32instantiation80, 76, 36  ⊢  
  : , : , :
33instantiation80, 81, 37  ⊢  
  : , : , :
34instantiation80, 38, 39  ⊢  
  : , : , :
35instantiation80, 81, 54  ⊢  
  : , : , :
36instantiation80, 78, 40  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat9
38theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
39instantiation41, 54, 42, 43, 44  ⊢  
  : , : , :
40instantiation80, 81, 45  ⊢  
  : , : , :
41theorem  ⊢  
 proveit.numbers.numerals.decimals.deci_sequence_is_nat_pos
42instantiation47, 54, 46  ⊢  
  :
43instantiation47, 82, 48  ⊢  
  :
44theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
45theorem  ⊢  
 proveit.numbers.numerals.decimals.nat6
46instantiation51, 49, 50  ⊢  
  : , :
47theorem  ⊢  
 proveit.numbers.numerals.decimals.n_in_digits
48instantiation51, 52, 53  ⊢  
  : , :
49instantiation64, 54  ⊢  
  :
50instantiation55, 56  ⊢  
  :
51theorem  ⊢  
 proveit.logic.booleans.conjunction.and_if_both
52instantiation64, 82  ⊢  
  :
53instantiation57, 75, 58, 59, 60, 61*, 62*  ⊢  
  : , : , :
54theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
55theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
56theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat9
57theorem  ⊢  
 proveit.numbers.addition.weak_bound_via_left_term_bound
58theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
59instantiation80, 76, 63  ⊢  
  : , : , :
60instantiation64, 73  ⊢  
  :
61instantiation65, 66, 67  ⊢  
  : , : , :
62theorem  ⊢  
 proveit.numbers.numerals.decimals.add_4_5
63instantiation80, 78, 68  ⊢  
  : , : , :
64theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_lower_bound
65theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
66instantiation69, 71  ⊢  
  :
67instantiation70, 71, 72  ⊢  
  : , :
68instantiation80, 81, 73  ⊢  
  : , : , :
69theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
70theorem  ⊢  
 proveit.numbers.addition.commutation
71instantiation80, 74, 75  ⊢  
  : , : , :
72theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
73theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
74theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
75instantiation80, 76, 77  ⊢  
  : , : , :
76theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
77instantiation80, 78, 79  ⊢  
  : , : , :
78theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
79instantiation80, 81, 82  ⊢  
  : , : , :
80theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
81theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
82theorem  ⊢  
 proveit.numbers.numerals.decimals.nat5
*equality replacement requirements