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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  ⊢  
  : , :
1reference10  ⊢  
2instantiation7, 4, 37, 9  ⊢  
  : , :
3instantiation17, 5  ⊢  
  :
4instantiation10, 11, 6  ⊢  
  : , :
5instantiation7, 8, 37, 9  ⊢  
  : , :
6instantiation17, 33  ⊢  
  :
7theorem  ⊢  
 proveit.numbers.modular.mod_abs_real_closure
8instantiation10, 11, 12  ⊢  
  : , :
9instantiation13, 14, 15  ⊢  
  : , :
10theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
11instantiation56, 46, 16  ⊢  
  : , : , :
12instantiation17, 18  ⊢  
  :
13theorem  ⊢  
 proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
14instantiation56, 20, 19  ⊢  
  : , : , :
15instantiation56, 20, 21  ⊢  
  : , : , :
16instantiation56, 51, 22  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.negation.real_closure
18instantiation56, 46, 23  ⊢  
  : , : , :
19instantiation56, 25, 24  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
21instantiation56, 25, 55  ⊢  
  : , : , :
22instantiation56, 26, 27  ⊢  
  : , : , :
23instantiation56, 51, 28  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
25theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
26instantiation29, 30, 31  ⊢  
  : , :
27assumption  ⊢  
28instantiation32, 33  ⊢  
  :
29theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
30theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
31instantiation34, 45, 35  ⊢  
  : , :
32axiom  ⊢  
 proveit.numbers.rounding.floor_is_an_int
33instantiation36, 37, 38  ⊢  
  : , :
34theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
35instantiation39, 52  ⊢  
  :
36theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
37instantiation56, 46, 40  ⊢  
  : , : , :
38instantiation41, 42, 43, 44  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.negation.int_closure
40instantiation56, 51, 45  ⊢  
  : , : , :
41theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
42theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
43instantiation56, 46, 47  ⊢  
  : , : , :
44axiom  ⊢  
 proveit.physics.quantum.QPE._phase_in_interval
45instantiation48, 49, 50  ⊢  
  : , :
46theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
47instantiation56, 51, 52  ⊢  
  : , : , :
48theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
49instantiation56, 57, 53  ⊢  
  : , : , :
50instantiation56, 54, 55  ⊢  
  : , : , :
51theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
52instantiation56, 57, 58  ⊢  
  : , : , :
53theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
54theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
55axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
56theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
57theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
58theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1