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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, 21, 5, 6, 7*  ⊢  
  : , : , :
3theorem  ⊢  
 proveit.numbers.exponentiation.real_power_of_real_power
4instantiation35, 20, 8  ⊢  
  : , : , :
5instantiation9, 23  ⊢  
  :
6instantiation10, 11  ⊢  
  :
7instantiation12, 19, 13, 14*  ⊢  
  : , :
8instantiation35, 15, 17  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.negation.real_closure
10theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
11instantiation35, 16, 17  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.multiplication.mult_neg_right
13instantiation35, 20, 23  ⊢  
  : , : , :
14instantiation18, 19  ⊢  
  :
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_neg_within_real
16theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_neg_within_real_nonzero
17assumption  ⊢  
18theorem  ⊢  
 proveit.numbers.multiplication.elim_one_right
19instantiation35, 20, 21  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
21instantiation22, 23, 24, 25  ⊢  
  : , :
22theorem  ⊢  
 proveit.numbers.division.div_real_closure
23instantiation35, 27, 26  ⊢  
  : , : , :
24instantiation35, 27, 28  ⊢  
  : , : , :
25instantiation29, 30  ⊢  
  :
26instantiation35, 32, 31  ⊢  
  : , : , :
27theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
28instantiation35, 32, 33  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
30theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
31instantiation35, 36, 34  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
33instantiation35, 36, 37  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
35theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
*equality replacement requirements