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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  ⊢  
  : , : , : , : , : , :
1theorem  ⊢  
 proveit.numbers.multiplication.disassociation
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
4reference32  ⊢  
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation10  ⊢  
  : , :
7theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
8instantiation30, 12, 11  ⊢  
  : , : , :
9instantiation30, 12, 13  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11instantiation30, 14, 15  ⊢  
  : , : , :
12theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
13theorem  ⊢  
 proveit.physics.quantum.QPE._phase_is_real
14theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
15instantiation30, 16, 17  ⊢  
  : , : , :
16theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
17instantiation30, 18, 19  ⊢  
  : , : , :
18instantiation20, 21, 22  ⊢  
  : , :
19assumption  ⊢  
20theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
21theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
22instantiation23, 24, 25  ⊢  
  : , :
23theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
24instantiation30, 26, 27  ⊢  
  : , : , :
25instantiation28, 29  ⊢  
  :
26theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
27theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
28theorem  ⊢  
 proveit.numbers.negation.int_closure
29instantiation30, 31, 32  ⊢  
  : , : , :
30theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
32theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1