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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, 5, 6, 7, 8, 9, 10, 11, 12  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.multiplication.disassociation
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3reference35  ⊢  
4theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation13  ⊢  
  : , :
7instantiation14  ⊢  
  : , : , :
8instantiation33, 18, 15  ⊢  
  : , : , :
9instantiation33, 18, 16  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
11instantiation33, 18, 17  ⊢  
  : , : , :
12instantiation33, 18, 19  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
15instantiation33, 20, 21  ⊢  
  : , : , :
16instantiation33, 22, 23  ⊢  
  : , : , :
17instantiation24, 25  ⊢  
  :
18theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
19instantiation26, 27, 28  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
21instantiation33, 29, 30  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
24theorem  ⊢  
 proveit.physics.quantum.QPE._delta_b_is_real
25theorem  ⊢  
 proveit.physics.quantum.QPE._best_round_is_int
26theorem  ⊢  
 proveit.logic.sets.inclusion.unfold_subset_eq
27instantiation31, 32  ⊢  
  : , :
28theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
29theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
30instantiation33, 34, 35  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.logic.sets.inclusion.relax_proper_subset
32theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.nat_pos_within_real
33theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
34theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
35theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2