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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.logic.equality.equals_reversal
2instantiation3, 4, 5  ⊢  
  : , : , :
3theorem  ⊢  
 proveit.core_expr_types.tuples.partition_front
4instantiation6, 7, 8  ⊢  
  :
5instantiation9, 10  ⊢  
  :
6theorem  ⊢  
 proveit.numbers.number_sets.integers.nonneg_int_is_natural
7instantiation11, 12, 13  ⊢  
  : , :
8instantiation14, 15  ⊢  
  : , :
9theorem  ⊢  
 proveit.numbers.addition.elim_zero_left
10instantiation37, 16, 17  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
12instantiation37, 18, 31  ⊢  
  : , : , :
13instantiation19, 20, 21  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.addition.subtraction.nonneg_difference
15instantiation22, 23  ⊢  
  : , :
16theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
17instantiation37, 24, 25  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
19theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
20instantiation26, 27  ⊢  
  : , :
21instantiation28, 29  ⊢  
  : , :
22theorem  ⊢  
 proveit.numbers.ordering.relax_less
23instantiation30, 31  ⊢  
  :
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
25instantiation37, 32, 33  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_set_within_int
28theorem  ⊢  
 proveit.logic.sets.enumeration.fold_singleton
29theorem  ⊢  
 proveit.numbers.negation.negated_zero
30theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
31instantiation34, 35, 36  ⊢  
  : , :
32theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
33instantiation37, 38, 39  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.addition.add_nat_pos_closure_bin
35assumption  ⊢  
36theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
37theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
39theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1