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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  ⊢  
  : , : , :
1reference43  ⊢  
2theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
3instantiation4, 5, 6, 7  ⊢  
  : , :
4theorem  ⊢  
 proveit.numbers.division.div_real_closure
5instantiation43, 14, 8  ⊢  
  : , : , :
6instantiation9, 10, 45  ⊢  
  : , :
7instantiation11, 12, 13  ⊢  
  : , :
8instantiation43, 19, 32  ⊢  
  : , : , :
9theorem  ⊢  
 proveit.numbers.exponentiation.exp_real_closure_nat_power
10instantiation43, 14, 15  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
12instantiation43, 17, 16  ⊢  
  : , : , :
13instantiation43, 17, 18  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
15instantiation43, 19, 24  ⊢  
  : , : , :
16instantiation43, 21, 20  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
18instantiation43, 21, 22  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
20instantiation23, 24, 25  ⊢  
  :
21theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
22theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
23theorem  ⊢  
 proveit.numbers.number_sets.integers.pos_int_is_natural_pos
24instantiation43, 26, 34  ⊢  
  : , : , :
25instantiation27, 28, 29  ⊢  
  : , : , :
26instantiation30, 32, 33  ⊢  
  : , :
27theorem  ⊢  
 proveit.numbers.ordering.transitivity_less_less_eq
28theorem  ⊢  
 proveit.numbers.numerals.decimals.less_0_1
29instantiation31, 32, 33, 34  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
31theorem  ⊢  
 proveit.numbers.number_sets.integers.interval_lower_bound
32instantiation43, 44, 35  ⊢  
  : , : , :
33instantiation36, 37, 38  ⊢  
  : , :
34assumption  ⊢  
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
36theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
37instantiation43, 39, 40  ⊢  
  : , : , :
38instantiation41, 42  ⊢  
  :
39theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
40theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
41theorem  ⊢  
 proveit.numbers.negation.int_closure
42instantiation43, 44, 45  ⊢  
  : , : , :
43theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
45theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2