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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.equality.substitution
2instantiation3, 4  ⊢  
  :
3axiom  ⊢  
 proveit.logic.booleans.eq_true_intro
4instantiation5, 6  ⊢  
  : , :
5theorem  ⊢  
 proveit.logic.equality.not_equals_symmetry
6instantiation7, 36, 8, 9  ⊢  
  : , :
7theorem  ⊢  
 proveit.numbers.ordering.less_is_not_eq_nat
8theorem  ⊢  
 proveit.numbers.numerals.decimals.nat5
9instantiation10, 29, 11, 12, 13, 14*, 15*  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
11theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
12instantiation34, 30, 16  ⊢  
  : , : , :
13instantiation17, 18  ⊢  
  :
14instantiation19, 20, 21  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.numerals.decimals.add_4_1
16instantiation34, 32, 22  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
18theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat4
19theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
20instantiation23, 25  ⊢  
  :
21instantiation24, 25, 26  ⊢  
  : , :
22instantiation34, 35, 27  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
24theorem  ⊢  
 proveit.numbers.addition.commutation
25instantiation34, 28, 29  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
27theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
28theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
29instantiation34, 30, 31  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
31instantiation34, 32, 33  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
33instantiation34, 35, 36  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
*equality replacement requirements