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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  ⊢  
  :
1theorem  ⊢  
 proveit.numbers.addition.elim_zero_left
2instantiation3, 4  ⊢  
  :
3theorem  ⊢  
 proveit.numbers.negation.complex_closure
4instantiation5, 6, 7  ⊢  
  : , : , :
5theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
6instantiation45, 27, 8  ⊢  
  : , : , :
7instantiation9, 10, 11  ⊢  
  : , : , :
8instantiation29, 24, 12  ⊢  
  : , :
9axiom  ⊢  
 proveit.logic.equality.equals_transitivity
10instantiation15, 13, 47, 16, 19, 17, 14, 22, 23  ⊢  
  : , : , : , : , : , :
11instantiation15, 16, 47, 17, 18, 19, 20, 21, 22, 23  ⊢  
  : , : , : , : , : , :
12instantiation29, 26, 28  ⊢  
  : , :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
14instantiation45, 27, 24  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.multiplication.disassociation
16axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
17theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18instantiation25  ⊢  
  : , :
19instantiation25  ⊢  
  : , :
20instantiation45, 27, 30  ⊢  
  : , : , :
21instantiation45, 27, 31  ⊢  
  : , : , :
22instantiation45, 27, 26  ⊢  
  : , : , :
23instantiation45, 27, 28  ⊢  
  : , : , :
24instantiation29, 30, 31  ⊢  
  : , :
25theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26instantiation32, 33  ⊢  
  :
27theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
28instantiation34, 35, 36  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.multiplication.mult_real_closure_bin
30instantiation45, 37, 38  ⊢  
  : , : , :
31instantiation45, 39, 40  ⊢  
  : , : , :
32theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_is_real
33theorem  ⊢  
 proveit.physics.quantum.QPE._best_round_is_int
34theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
35instantiation41, 42  ⊢  
  : , :
36theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
37theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
38instantiation45, 43, 44  ⊢  
  : , : , :
39theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
40theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
41theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
42theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
43theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
44instantiation45, 46, 47  ⊢  
  : , : , :
45theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
47theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2