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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.numbers.addition.commutation
2instantiation22, 5, 4  ⊢  
  : , : , :
3instantiation22, 5, 6  ⊢  
  : , : , :
4instantiation7, 8, 24  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
6instantiation22, 9, 10  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
8instantiation11, 12  ⊢  
  : , :
9theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
10instantiation22, 13, 14  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
12theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
13theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
14instantiation15, 16, 17  ⊢  
  : , :
15theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
16instantiation18, 19  ⊢  
  :
17instantiation22, 20, 21  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.negation.int_closure
19instantiation22, 23, 24  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
21theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
22theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
23theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
24assumption  ⊢