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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  ⊢  
  :
1reference13  ⊢  
2instantiation3, 4, 33, 5  ⊢  
  : , :
3theorem  ⊢  
 proveit.numbers.modular.mod_abs_real_closure
4instantiation6, 7, 8  ⊢  
  : , :
5instantiation9, 10, 11  ⊢  
  : , :
6theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
7instantiation52, 42, 12  ⊢  
  : , : , :
8instantiation13, 14  ⊢  
  :
9theorem  ⊢  
 proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
10instantiation52, 16, 15  ⊢  
  : , : , :
11instantiation52, 16, 17  ⊢  
  : , : , :
12instantiation52, 47, 18  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.negation.real_closure
14instantiation52, 42, 19  ⊢  
  : , : , :
15instantiation52, 21, 20  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
17instantiation52, 21, 51  ⊢  
  : , : , :
18instantiation52, 22, 23  ⊢  
  : , : , :
19instantiation52, 47, 24  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
21theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
22instantiation25, 26, 27  ⊢  
  : , :
23assumption  ⊢  
24instantiation28, 29  ⊢  
  :
25theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
26theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
27instantiation30, 41, 31  ⊢  
  : , :
28axiom  ⊢  
 proveit.numbers.rounding.floor_is_an_int
29instantiation32, 33, 34  ⊢  
  : , :
30theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
31instantiation35, 48  ⊢  
  :
32theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
33instantiation52, 42, 36  ⊢  
  : , : , :
34instantiation37, 38, 39, 40  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.numbers.negation.int_closure
36instantiation52, 47, 41  ⊢  
  : , : , :
37theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
38theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
39instantiation52, 42, 43  ⊢  
  : , : , :
40axiom  ⊢  
 proveit.physics.quantum.QPE._phase_in_interval
41instantiation44, 45, 46  ⊢  
  : , :
42theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
43instantiation52, 47, 48  ⊢  
  : , : , :
44theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
45instantiation52, 53, 49  ⊢  
  : , : , :
46instantiation52, 50, 51  ⊢  
  : , : , :
47theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
48instantiation52, 53, 54  ⊢  
  : , : , :
49theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
50theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
51axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
52theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
54theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1