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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,  ⊢  
  : , : , : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.addition.subtraction.add_cancel_general_rev
2reference36  ⊢  
3axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
4instantiation9  ⊢  
  : , :
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation37, 12, 10,  ⊢  
  : , : , :
7instantiation37, 12, 11  ⊢  
  : , : , :
8instantiation37, 12, 13  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
10instantiation37, 17, 14,  ⊢  
  : , : , :
11instantiation15, 16, 39  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
13instantiation37, 17, 18  ⊢  
  : , : , :
14instantiation37, 22, 19,  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
16instantiation20, 21  ⊢  
  : , :
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation37, 22, 23  ⊢  
  : , : , :
19instantiation37, 24, 25,  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
22theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
23instantiation37, 35, 26  ⊢  
  : , : , :
24instantiation27, 28, 29  ⊢  
  : , :
25assumption  ⊢  
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
27theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
28instantiation30, 31, 32  ⊢  
  : , :
29theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
30theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
31instantiation33, 34  ⊢  
  :
32instantiation37, 35, 36  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.negation.int_closure
34instantiation37, 38, 39  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
37theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
39assumption  ⊢