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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  ⊢  
  :
1axiom  ⊢  
 proveit.logic.booleans.eq_true_intro
2instantiation3, 4  ⊢  
  : , :
3theorem  ⊢  
 proveit.logic.equality.not_equals_symmetry
4instantiation5, 34, 6, 7  ⊢  
  : , :
5theorem  ⊢  
 proveit.numbers.ordering.less_is_not_eq_nat
6theorem  ⊢  
 proveit.numbers.numerals.decimals.nat5
7instantiation8, 25, 9, 27, 10, 11*, 12*  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
9theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
10instantiation13, 14  ⊢  
  :
11instantiation17, 15, 16  ⊢  
  : , : , :
12instantiation17, 18, 19  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
14theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
15instantiation20, 23  ⊢  
  :
16instantiation22, 23, 21  ⊢  
  : , :
17theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
18theorem  ⊢  
 proveit.numbers.numerals.decimals.add_3_2
19instantiation22, 23, 24  ⊢  
  : , :
20theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
21theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
22theorem  ⊢  
 proveit.numbers.addition.commutation
23instantiation35, 26, 25  ⊢  
  : , : , :
24instantiation35, 26, 27  ⊢  
  : , : , :
25instantiation35, 29, 28  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
27instantiation35, 29, 30  ⊢  
  : , : , :
28instantiation35, 32, 31  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
30instantiation35, 32, 33  ⊢  
  : , : , :
31instantiation35, 36, 34  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
33instantiation35, 36, 37  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
35theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements