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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, , ,  ⊢  
  : , : , :
1reference6  ⊢  
2instantiation3, 4, 5, , ,  ⊢  
  : , : , :
3axiom  ⊢  
 proveit.logic.equality.equals_transitivity
4instantiation6, 7,  ⊢  
  : , : , :
5instantiation8, 9, , ,  ⊢  
  : , :
6axiom  ⊢  
 proveit.logic.equality.substitution
7instantiation10, 11, 14,  ⊢  
  : , :
8theorem  ⊢  
 proveit.logic.equality.equals_reversal
9instantiation12, 13, 14, 15, , ,  ⊢  
  : , :
10theorem  ⊢  
 proveit.numbers.multiplication.commutation
11instantiation25, 19, 16  ⊢  
  : , : , :
12instantiation17, 24  ⊢  
  :
13instantiation25, 19, 18  ⊢  
  : , : , :
14instantiation25, 19, 20  ⊢  
  : , : , :
15assumption  ⊢  
16instantiation25, 22, 21  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.exponentiation.int_exp_of_exp
18assumption  ⊢  
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
20instantiation25, 22, 23  ⊢  
  : , : , :
21instantiation25, 26, 24  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
23instantiation25, 26, 27  ⊢  
  : , : , :
24assumption  ⊢  
25theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
26theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
27assumption  ⊢