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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  ⊢  
  : , : , :
1axiom  ⊢  
 proveit.logic.equality.substitution
2instantiation3, 4, 5, 6, 7*, 8*  ⊢  
  : , : , :
3theorem  ⊢  
 proveit.numbers.exponentiation.neg_power_of_quotient
4instantiation34, 10, 9  ⊢  
  : , : , :
5instantiation34, 10, 11  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
7instantiation13, 12  ⊢  
  :
8instantiation13, 14  ⊢  
  :
9instantiation34, 16, 15  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
11instantiation34, 16, 17  ⊢  
  : , : , :
12instantiation34, 19, 18  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.exponentiation.complex_x_to_first_power_is_x
14instantiation34, 19, 20  ⊢  
  : , : , :
15instantiation34, 22, 21  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
17instantiation34, 22, 23  ⊢  
  : , : , :
18instantiation34, 25, 24  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
20instantiation34, 25, 26  ⊢  
  : , : , :
21instantiation34, 28, 27  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
23instantiation34, 28, 29  ⊢  
  : , : , :
24instantiation34, 31, 30  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
26instantiation34, 31, 32  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
28theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
29theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat3
30instantiation34, 35, 33  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
32instantiation34, 35, 36  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements