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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*  ⊢  
  : , :
3theorem  ⊢  
 proveit.numbers.exponentiation.neg_power_as_div
4instantiation23, 7, 8  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
6instantiation9, 10  ⊢  
  :
7theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
8instantiation23, 11, 12  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.exponentiation.complex_x_to_first_power_is_x
10instantiation23, 13, 14  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
12instantiation23, 15, 16  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
14instantiation23, 17, 18  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
16instantiation23, 19, 20  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
18instantiation23, 21, 22  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
20theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
21theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
22instantiation23, 24, 25  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
25theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements