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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  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
2instantiation4, 5  ⊢  
  : , :
3assumption  ⊢  
4theorem  ⊢  
 proveit.logic.equality.not_equals_symmetry
5instantiation6, 35, 7, 8  ⊢  
  : , :
6theorem  ⊢  
 proveit.numbers.ordering.less_is_not_eq_nat
7theorem  ⊢  
 proveit.numbers.numerals.decimals.nat6
8instantiation9, 28, 10, 11, 12, 13*, 14*  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
10theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
11instantiation33, 29, 15  ⊢  
  : , : , :
12instantiation16, 17  ⊢  
  :
13instantiation18, 19, 20  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.numerals.decimals.add_5_1
15instantiation33, 31, 21  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
17theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat5
18theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
19instantiation22, 24  ⊢  
  :
20instantiation23, 24, 25  ⊢  
  : , :
21instantiation33, 34, 26  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
23theorem  ⊢  
 proveit.numbers.addition.commutation
24instantiation33, 27, 28  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat5
27theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
28instantiation33, 29, 30  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
30instantiation33, 31, 32  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
32instantiation33, 34, 35  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
*equality replacement requirements