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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  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.core_expr_types.tuples.shift_equivalence
2reference40  ⊢  
3instantiation6, 7, 8  ⊢  
  :
4instantiation9, 10  ⊢  
  : , :
5instantiation11  ⊢  
  :
6theorem  ⊢  
 proveit.numbers.number_sets.integers.nonneg_int_is_natural
7instantiation12, 13, 14  ⊢  
  : , :
8instantiation15, 16  ⊢  
  : , :
9theorem  ⊢  
 proveit.logic.equality.equals_reversal
10instantiation17, 34, 33, 18  ⊢  
  : , : , :
11axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
12theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
13instantiation41, 19, 23  ⊢  
  : , : , :
14instantiation41, 20, 21  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.addition.subtraction.nonneg_difference
16instantiation22, 23  ⊢  
  :
17theorem  ⊢  
 proveit.numbers.addition.subtraction.subtract_from_add
18instantiation24, 25, 26  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
20theorem  ⊢  
 proveit.numbers.number_sets.integers.neg_int_within_int
21instantiation27, 30  ⊢  
  :
22theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
23instantiation28, 29, 30  ⊢  
  : , :
24theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
25instantiation31, 33  ⊢  
  :
26instantiation32, 33, 34  ⊢  
  : , :
27theorem  ⊢  
 proveit.numbers.negation.int_neg_closure
28theorem  ⊢  
 proveit.numbers.addition.add_nat_pos_closure_bin
29assumption  ⊢  
30theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
31theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
32theorem  ⊢  
 proveit.numbers.addition.commutation
33instantiation41, 35, 36  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
35theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
36instantiation41, 37, 38  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
38instantiation41, 39, 40  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
40instantiation41, 42, 43  ⊢  
  : , : , :
41theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
42theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
43theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1