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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
2theorem  ⊢  
 proveit.numbers.numerals.decimals.less_1_2
3instantiation4, 19, 5, 6, 7*, 8*  ⊢  
  : , : , :
4theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
5theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
6instantiation9, 10  ⊢  
  :
7instantiation11, 12, 13  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.numerals.decimals.add_2_2
9theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
10theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
11theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
12instantiation14, 16  ⊢  
  :
13instantiation15, 16, 17  ⊢  
  : , :
14theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
15theorem  ⊢  
 proveit.numbers.addition.commutation
16instantiation24, 18, 19  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
18theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
19instantiation24, 20, 21  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
21instantiation24, 22, 23  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
23instantiation24, 25, 26  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements