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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.addition.subtraction.add_cancel_triple_13
2instantiation5, 6, 7  ⊢  
  : , :
3instantiation37, 21, 8  ⊢  
  : , : , :
4instantiation9  ⊢  
  :
5theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
6instantiation37, 21, 14  ⊢  
  : , : , :
7instantiation10, 11, 12  ⊢  
  : , :
8instantiation13, 14  ⊢  
  :
9axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
10theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
11instantiation37, 21, 19  ⊢  
  : , : , :
12instantiation15, 16  ⊢  
  :
13theorem  ⊢  
 proveit.numbers.negation.real_closure
14instantiation17, 18, 19, 20  ⊢  
  : , :
15theorem  ⊢  
 proveit.numbers.negation.complex_closure
16instantiation37, 21, 22  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.division.div_real_closure
18instantiation37, 24, 23  ⊢  
  : , : , :
19instantiation37, 24, 25  ⊢  
  : , : , :
20instantiation26, 27  ⊢  
  :
21theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
22instantiation28, 29, 30  ⊢  
  : , : , :
23instantiation37, 32, 31  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
25instantiation37, 32, 33  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
27theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
28theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
29instantiation34, 35  ⊢  
  : , :
30axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
31instantiation37, 38, 36  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
33instantiation37, 38, 39  ⊢  
  : , : , :
34theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
35theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
36theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
37theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
39theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2