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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.not_equals_symmetry
2instantiation3, 32, 4, 5  ⊢  
  : , :
3theorem  ⊢  
 proveit.numbers.ordering.less_is_not_eq_nat
4theorem  ⊢  
 proveit.numbers.numerals.decimals.nat6
5instantiation6, 25, 7, 8, 9, 10*, 11*  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
7theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
8instantiation30, 26, 12  ⊢  
  : , : , :
9instantiation13, 14  ⊢  
  :
10instantiation15, 16, 17  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.numerals.decimals.add_4_2
12instantiation30, 28, 18  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
14theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat4
15theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
16instantiation19, 21  ⊢  
  :
17instantiation20, 21, 22  ⊢  
  : , :
18instantiation30, 31, 23  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
20theorem  ⊢  
 proveit.numbers.addition.commutation
21instantiation30, 24, 25  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
23theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
24theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
25instantiation30, 26, 27  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
27instantiation30, 28, 29  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
29instantiation30, 31, 32  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements