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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,  ⊢  
  : , : , :
1reference6  ⊢  
2instantiation4, 5,  ⊢  
  : , : , :
3instantiation6, 7, 8,  ⊢  
  : , : , :
4axiom  ⊢  
 proveit.logic.equality.substitution
5instantiation9, 40, 15, 17, 18, 13, 19,  ⊢  
  : , : , : , : , : , : , :
6axiom  ⊢  
 proveit.logic.equality.equals_transitivity
7instantiation10, 15, 11, 40, 17, 12, 18, 19, 13, 22,  ⊢  
  : , : , : , : , : , :
8instantiation14, 50, 15, 16, 17, 18, 19, 22,  ⊢  
  : , : , : , : , : , : , : , :
9theorem  ⊢  
 proveit.numbers.addition.leftward_commutation
10theorem  ⊢  
 proveit.numbers.addition.disassociation
11theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
12instantiation20  ⊢  
  : , : , :
13instantiation21, 22  ⊢  
  :
14theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_general_rev
15axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
16instantiation23  ⊢  
  : , :
17theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18instantiation51, 26, 24,  ⊢  
  : , : , :
19instantiation51, 26, 25  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
21theorem  ⊢  
 proveit.numbers.negation.complex_closure
22instantiation51, 26, 27  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24instantiation51, 31, 28,  ⊢  
  : , : , :
25instantiation29, 30, 53  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
27instantiation51, 31, 32  ⊢  
  : , : , :
28instantiation51, 36, 33,  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
30instantiation34, 35  ⊢  
  : , :
31theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
32instantiation51, 36, 37  ⊢  
  : , : , :
33instantiation51, 38, 39,  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
36theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
37instantiation51, 49, 40  ⊢  
  : , : , :
38instantiation41, 42, 43  ⊢  
  : , :
39assumption  ⊢  
40theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
41theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
42instantiation44, 45, 46  ⊢  
  : , :
43theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
44theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
45instantiation47, 48  ⊢  
  :
46instantiation51, 49, 50  ⊢  
  : , : , :
47theorem  ⊢  
 proveit.numbers.negation.int_closure
48instantiation51, 52, 53  ⊢  
  : , : , :
49theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
50theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
51theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
53assumption  ⊢