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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, 10  ⊢  
  : , :
6theorem  ⊢  
 proveit.logic.equality.equals_reversal
7instantiation11, 17, 12, 20, 13*  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.addition.commutation
9instantiation32, 22, 14  ⊢  
  : , : , :
10instantiation32, 22, 15  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.exponentiation.product_of_posnat_powers
12theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
13instantiation16, 17  ⊢  
  :
14instantiation18, 19, 20  ⊢  
  : , : , :
15instantiation32, 27, 21  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.exponentiation.complex_x_to_first_power_is_x
17instantiation32, 22, 23  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
19instantiation24, 25  ⊢  
  : , :
20assumption  ⊢  
21instantiation32, 30, 26  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
23instantiation32, 27, 28  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
26instantiation32, 33, 29  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
28instantiation32, 30, 31  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
30theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
31instantiation32, 33, 34  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements