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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
2instantiation28, 5, 4,  ⊢  
  : , : , :
3instantiation28, 5, 6  ⊢  
  : , : , :
4instantiation28, 8, 7,  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
6instantiation28, 8, 9  ⊢  
  : , : , :
7instantiation28, 11, 10,  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
9instantiation28, 11, 18  ⊢  
  : , : , :
10instantiation28, 12, 13,  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
12instantiation14, 15, 16  ⊢  
  : , :
13assumption  ⊢  
14theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
15theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
16instantiation17, 18, 19  ⊢  
  : , :
17theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
18instantiation20, 21, 22  ⊢  
  : , :
19instantiation23, 24  ⊢  
  :
20theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
21instantiation28, 29, 25  ⊢  
  : , : , :
22instantiation28, 26, 27  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.negation.int_closure
24instantiation28, 29, 30  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
26theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
27assumption  ⊢  
28theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
30theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1