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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.core_expr_types.tuples.range_len
2instantiation31, 3, 4  ⊢  
  : , : , :
3theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
4instantiation5, 6, 7, 8, 9, 10, 11, 12, 13  ⊢  
  : , : , : , : , :
5theorem  ⊢  
 proveit.numbers.addition.add_nat_pos_from_nonneg
6theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
7axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
8instantiation14  ⊢  
  : , :
9theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10instantiation15, 16, 17  ⊢  
  :
11instantiation18, 19, 20  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
13theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
14theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15theorem  ⊢  
 proveit.numbers.number_sets.integers.nonneg_int_is_natural
16instantiation21, 22, 23  ⊢  
  : , :
17instantiation24, 25  ⊢  
  : , :
18theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
19instantiation26, 27  ⊢  
  : , :
20instantiation28, 29  ⊢  
  : , :
21theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
22instantiation31, 30, 35  ⊢  
  : , : , :
23instantiation31, 32, 33  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.addition.subtraction.nonneg_difference
25instantiation34, 35  ⊢  
  :
26theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_set_within_nat
28theorem  ⊢  
 proveit.logic.sets.enumeration.fold_singleton
29theorem  ⊢  
 proveit.numbers.negation.negated_zero
30theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
31theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_int
33instantiation36, 37  ⊢  
  :
34theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
35assumption  ⊢  
36theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
37theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1