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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, , ,  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.equals_transitivity
2instantiation4, 5,  ⊢  
  : , : , :
3instantiation6, 7, , ,  ⊢  
  : , :
4axiom  ⊢  
 proveit.logic.equality.substitution
5instantiation8, 9, 12,  ⊢  
  : , :
6theorem  ⊢  
 proveit.logic.equality.equals_reversal
7instantiation10, 11, 12, 13, , ,  ⊢  
  : , :
8theorem  ⊢  
 proveit.numbers.multiplication.commutation
9instantiation23, 17, 14  ⊢  
  : , : , :
10instantiation15, 22  ⊢  
  :
11instantiation23, 17, 16  ⊢  
  : , : , :
12instantiation23, 17, 18  ⊢  
  : , : , :
13assumption  ⊢  
14instantiation23, 20, 19  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.exponentiation.int_exp_of_exp
16assumption  ⊢  
17theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
18instantiation23, 20, 21  ⊢  
  : , : , :
19instantiation23, 24, 22  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
21instantiation23, 24, 25  ⊢  
  : , : , :
22assumption  ⊢  
23theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
25assumption  ⊢