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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  ⊢  
  : , : , :
1reference29  ⊢  
2theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
3instantiation4, 5  ⊢  
  :
4theorem  ⊢  
 proveit.numbers.negation.real_closure
5instantiation29, 19, 6  ⊢  
  : , : , :
6instantiation29, 24, 7  ⊢  
  : , : , :
7instantiation8, 9  ⊢  
  :
8axiom  ⊢  
 proveit.numbers.rounding.floor_is_an_int
9instantiation10, 11, 12  ⊢  
  : , :
10theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
11instantiation29, 19, 13  ⊢  
  : , : , :
12instantiation14, 15, 16, 17  ⊢  
  : , : , :
13instantiation29, 24, 18  ⊢  
  : , : , :
14theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
15theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.zero_is_real
16instantiation29, 19, 20  ⊢  
  : , : , :
17axiom  ⊢  
 proveit.physics.quantum.QPE._phase_in_interval
18instantiation21, 22, 23  ⊢  
  : , :
19theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
20instantiation29, 24, 25  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
22instantiation29, 30, 26  ⊢  
  : , : , :
23instantiation29, 27, 28  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
25instantiation29, 30, 31  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
27theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
28axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
29theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
31theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1