logo

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_32
2reference14  ⊢  
3instantiation5, 6, 7  ⊢  
  : , :
4instantiation8  ⊢  
  :
5theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
6instantiation9, 14, 10, 11  ⊢  
  : , :
7instantiation13, 23, 12  ⊢  
  : , :
8axiom  ⊢  
 proveit.logic.equality.equals_reflexivity
9theorem  ⊢  
 proveit.numbers.division.div_complex_closure
10instantiation13, 23, 14  ⊢  
  : , :
11instantiation15, 16, 17  ⊢  
  : , : , :
12instantiation38, 28, 18  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
14instantiation38, 28, 19  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.logic.equality.sub_left_side_into
16instantiation20, 21  ⊢  
  :
17instantiation22, 23  ⊢  
  :
18instantiation24, 25, 26  ⊢  
  : , : , :
19instantiation38, 33, 27  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
21theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
22theorem  ⊢  
 proveit.numbers.exponentiation.complex_x_to_first_power_is_x
23instantiation38, 28, 29  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
25instantiation30, 31  ⊢  
  : , :
26axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
27instantiation38, 36, 32  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
29instantiation38, 33, 34  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
32instantiation38, 39, 35  ⊢  
  : , : , :
33theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
34instantiation38, 36, 37  ⊢  
  : , : , :
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
36theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
37instantiation38, 39, 40  ⊢  
  : , : , :
38theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
40theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2