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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  ⊢  
  : , : , :
1reference10  ⊢  
2instantiation3, 4, 5, 6  ⊢  
  : , : , : , :
3theorem  ⊢  
 proveit.logic.equality.four_chain_transitivity
4instantiation10, 7  ⊢  
  : , : , :
5instantiation8, 9  ⊢  
  : , :
6instantiation10, 11  ⊢  
  : , : , :
7instantiation12, 13, 14  ⊢  
  : , :
8theorem  ⊢  
 proveit.logic.equality.equals_reversal
9instantiation15, 16, 17, 22, 18  ⊢  
  : , : , :
10axiom  ⊢  
 proveit.logic.equality.substitution
11instantiation19, 20, 21  ⊢  
  : , :
12theorem  ⊢  
 proveit.numbers.addition.commutation
13instantiation50, 33, 22  ⊢  
  : , : , :
14instantiation23, 24  ⊢  
  :
15theorem  ⊢  
 proveit.numbers.exponentiation.product_of_real_powers
16instantiation50, 33, 25  ⊢  
  : , : , :
17instantiation26, 34  ⊢  
  :
18instantiation27, 49  ⊢  
  :
19theorem  ⊢  
 proveit.numbers.exponentiation.neg_power_as_div
20instantiation50, 28, 29  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
22instantiation30, 31, 32  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.negation.complex_closure
24instantiation50, 33, 34  ⊢  
  : , : , :
25instantiation50, 40, 35  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.negation.real_closure
27theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
28theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
29instantiation50, 36, 37  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
31instantiation38, 39  ⊢  
  : , :
32axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
33theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
34instantiation50, 40, 41  ⊢  
  : , : , :
35instantiation50, 45, 42  ⊢  
  : , : , :
36theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
37instantiation50, 43, 44  ⊢  
  : , : , :
38theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
39theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
40theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
41instantiation50, 45, 46  ⊢  
  : , : , :
42instantiation50, 51, 47  ⊢  
  : , : , :
43theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
44instantiation50, 48, 49  ⊢  
  : , : , :
45theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
46instantiation50, 51, 52  ⊢  
  : , : , :
47theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
48theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
49theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
50theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
51theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
52theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1