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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, 28, 4, 5  ⊢  
  : , :
3theorem  ⊢  
 proveit.numbers.ordering.less_is_not_eq_nat
4theorem  ⊢  
 proveit.numbers.numerals.decimals.nat6
5instantiation6, 21, 7, 8, 9*, 10*  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
7theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
8instantiation11, 12  ⊢  
  :
9instantiation13, 14, 15  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.add_3_3
11theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
12theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
13theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
14instantiation16, 18  ⊢  
  :
15instantiation17, 18, 19  ⊢  
  : , :
16theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
17theorem  ⊢  
 proveit.numbers.addition.commutation
18instantiation26, 20, 21  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
20theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
21instantiation26, 22, 23  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
23instantiation26, 24, 25  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
25instantiation26, 27, 28  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
28theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
*equality replacement requirements