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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
2theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
3axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
4theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5instantiation35, 11, 9,  ⊢  
  : , : , :
6instantiation35, 11, 10  ⊢  
  : , : , :
7instantiation35, 11, 12  ⊢  
  : , : , :
8instantiation13  ⊢  
  :
9instantiation35, 15, 14,  ⊢  
  : , : , :
10instantiation35, 15, 16  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
12instantiation17, 18, 37  ⊢  
  : , : , :
13axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
14instantiation35, 20, 19,  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
16instantiation35, 20, 30  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
18instantiation21, 22  ⊢  
  : , :
19instantiation35, 23, 24,  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
21theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
23instantiation25, 26, 27  ⊢  
  : , :
24assumption  ⊢  
25theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
26instantiation28, 29, 30  ⊢  
  : , :
27theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
28theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
29instantiation31, 32  ⊢  
  :
30instantiation35, 33, 34  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.negation.int_closure
32instantiation35, 36, 37  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
35theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
37assumption  ⊢