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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  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.addition.add_real_closure_bin
2instantiation5, 4  ⊢  
  :
3instantiation5, 6  ⊢  
  :
4instantiation7, 8, 9, 10  ⊢  
  : , :
5theorem  ⊢  
 proveit.numbers.negation.real_closure
6instantiation37, 12, 11  ⊢  
  : , : , :
7theorem  ⊢  
 proveit.numbers.division.div_real_closure
8instantiation37, 12, 21  ⊢  
  : , : , :
9instantiation37, 12, 13  ⊢  
  : , : , :
10instantiation31, 34  ⊢  
  :
11instantiation14, 15, 16  ⊢  
  : , :
12theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
13instantiation37, 29, 17  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.multiplication.mult_rational_closure_bin
15instantiation37, 18, 19  ⊢  
  : , : , :
16instantiation20, 21, 22, 23  ⊢  
  : , :
17instantiation37, 35, 24  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
19instantiation25, 26, 27  ⊢  
  : , :
20theorem  ⊢  
 proveit.numbers.division.div_rational_closure
21instantiation37, 29, 28  ⊢  
  : , : , :
22instantiation37, 29, 30  ⊢  
  : , : , :
23instantiation31, 39  ⊢  
  :
24theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
25theorem  ⊢  
 proveit.numbers.division.div_rational_pos_closure
26instantiation37, 33, 32  ⊢  
  : , : , :
27instantiation37, 33, 34  ⊢  
  : , : , :
28instantiation37, 35, 36  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
30instantiation37, 38, 39  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
32theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
33theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
34theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
37theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
39theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos