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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, 4  ⊢  
  : , :
1theorem  ⊢  
 proveit.numbers.division.div_real_closure
2instantiation34, 6, 5  ⊢  
  : , : , :
3instantiation34, 6, 7  ⊢  
  : , : , :
4instantiation8, 9, 10  ⊢  
  : , :
5instantiation34, 12, 11  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
7instantiation34, 12, 24  ⊢  
  : , : , :
8theorem  ⊢  
 proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
9instantiation34, 14, 13  ⊢  
  : , : , :
10instantiation34, 14, 15  ⊢  
  : , : , :
11instantiation34, 16, 17  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
13instantiation34, 19, 18  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
15instantiation34, 19, 33  ⊢  
  : , : , :
16instantiation20, 21, 22  ⊢  
  : , :
17assumption  ⊢  
18theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
19theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
20theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
21theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
22instantiation23, 24, 25  ⊢  
  : , :
23theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
24instantiation26, 27, 28  ⊢  
  : , :
25instantiation29, 30  ⊢  
  :
26theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
27instantiation34, 35, 31  ⊢  
  : , : , :
28instantiation34, 32, 33  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.negation.int_closure
30instantiation34, 35, 36  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
32theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
33axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
34theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1