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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*  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.addition.weak_bound_via_left_term_bound
2reference16  ⊢  
3theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
4instantiation7, 23  ⊢  
  :
5instantiation8, 9, 10  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.numerals.decimals.add_4_4
7theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.natural_lower_bound
8theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
9instantiation11, 13  ⊢  
  :
10instantiation12, 13, 14  ⊢  
  : , :
11theorem  ⊢  
 proveit.numbers.addition.elim_zero_right
12theorem  ⊢  
 proveit.numbers.addition.commutation
13instantiation21, 15, 16  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
15theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
16instantiation21, 17, 18  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation21, 19, 20  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
20instantiation21, 22, 23  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
22theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
23theorem  ⊢  
 proveit.numbers.numerals.decimals.nat4
*equality replacement requirements