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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, 4, 5, 6*, 7*  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.addition.strong_bound_via_left_term_bound
2reference20  ⊢  
3theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
4reference22  ⊢  
5instantiation8, 9  ⊢  
  :
6instantiation12, 10, 11  ⊢  
  : , : , :
7instantiation12, 13, 14  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
9theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
10instantiation15, 18  ⊢  
  :
11instantiation17, 18, 16  ⊢  
  : , :
12theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
13theorem  ⊢  
 proveit.numbers.numerals.decimals.add_4_2
14instantiation17, 18, 19  ⊢  
  : , :
15theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
16theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
17theorem  ⊢  
 proveit.numbers.addition.commutation
18instantiation30, 21, 20  ⊢  
  : , : , :
19instantiation30, 21, 22  ⊢  
  : , : , :
20instantiation30, 24, 23  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
22instantiation30, 24, 25  ⊢  
  : , : , :
23instantiation30, 27, 26  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
25instantiation30, 27, 28  ⊢  
  : , : , :
26instantiation30, 31, 29  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
28instantiation30, 31, 32  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
30theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements