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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  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.equals_transitivity
2instantiation4, 5  ⊢  
  : , : , :
3axiom  ⊢  
 proveit.logic.booleans.negation.not_f
4axiom  ⊢  
 proveit.logic.equality.substitution
5instantiation6, 7  ⊢  
  :
6axiom  ⊢  
 proveit.logic.booleans.negation.negation_elim
7instantiation8, 9  ⊢  
  : , :
8theorem  ⊢  
 proveit.logic.equality.unfold_not_equals
9instantiation10, 11  ⊢  
  : , :
10theorem  ⊢  
 proveit.logic.equality.not_equals_symmetry
11instantiation12, 37, 13, 14  ⊢  
  : , :
12theorem  ⊢  
 proveit.numbers.ordering.less_is_not_eq_nat
13theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
14instantiation15, 30, 16, 17, 18*, 19*  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
17instantiation20, 21  ⊢  
  :
18instantiation22, 23, 24  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.numerals.decimals.add_2_2
20theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
21theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
22theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
23instantiation25, 27  ⊢  
  :
24instantiation26, 27, 28  ⊢  
  : , :
25theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
26theorem  ⊢  
 proveit.numbers.addition.commutation
27instantiation35, 29, 30  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
29theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
30instantiation35, 31, 32  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
32instantiation35, 33, 34  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
34instantiation35, 36, 37  ⊢  
  : , : , :
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