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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, 4, 5, 6*  ⊢  
  : , : , :
1theorem  ⊢  
 proveit.numbers.exponentiation.real_power_of_real_power
2instantiation34, 19, 7  ⊢  
  : , : , :
3reference20  ⊢  
4instantiation8, 22  ⊢  
  :
5instantiation9, 10  ⊢  
  :
6instantiation11, 18, 12, 13*  ⊢  
  : , :
7instantiation34, 14, 16  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.negation.real_closure
9theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
10instantiation34, 15, 16  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.multiplication.mult_neg_right
12instantiation34, 19, 22  ⊢  
  : , : , :
13instantiation17, 18  ⊢  
  :
14theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_neg_within_real
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_neg_within_real_nonzero
16assumption  ⊢  
17theorem  ⊢  
 proveit.numbers.multiplication.elim_one_right
18instantiation34, 19, 20  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
20instantiation21, 22, 23, 24  ⊢  
  : , :
21theorem  ⊢  
 proveit.numbers.division.div_real_closure
22instantiation34, 26, 25  ⊢  
  : , : , :
23instantiation34, 26, 27  ⊢  
  : , : , :
24instantiation28, 29  ⊢  
  :
25instantiation34, 31, 30  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
27instantiation34, 31, 32  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
29theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
30instantiation34, 35, 33  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
32instantiation34, 35, 36  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
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