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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.booleans.conjunction.and_if_both
2instantiation4, 22, 5  ⊢  
  : , :
3instantiation6, 22, 7, 8, 9*, 10*  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.ordering.relax_equal_to_less_eq
5instantiation11  ⊢  
  :
6theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
7theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
8instantiation12, 13  ⊢  
  :
9instantiation14, 15, 16  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.add_2_2
11axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
12theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
13theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
14theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
15instantiation17, 19  ⊢  
  :
16instantiation18, 19, 20  ⊢  
  : , :
17theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
18theorem  ⊢  
 proveit.numbers.addition.commutation
19instantiation27, 21, 22  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
21theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
22instantiation27, 23, 24  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
24instantiation27, 25, 26  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
26instantiation27, 28, 29  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements