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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.mult_neg_any
2reference12  ⊢  
3reference13  ⊢  
4reference14  ⊢  
5reference15  ⊢  
6instantiation50, 21, 10  ⊢  
  : , : , :
7reference16  ⊢  
8reference17  ⊢  
9instantiation11, 12, 13, 14, 15, 16, 17  ⊢  
  : , : , : , :
10instantiation50, 24, 18  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.multiplication.elim_one_any
12axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
13theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
14theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15instantiation19  ⊢  
  : , :
16instantiation50, 21, 20  ⊢  
  : , : , :
17instantiation50, 21, 22  ⊢  
  : , : , :
18instantiation50, 26, 42  ⊢  
  : , : , :
19theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20instantiation50, 24, 23  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
22instantiation50, 24, 25  ⊢  
  : , : , :
23instantiation50, 26, 27  ⊢  
  : , : , :
24theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
25instantiation50, 28, 29  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
27instantiation50, 30, 31  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
29instantiation32, 33, 34  ⊢  
  : , :
30instantiation35, 36, 47  ⊢  
  : , :
31assumption  ⊢  
32theorem  ⊢  
 proveit.numbers.exponentiation.exp_rational_nonzero_closure
33instantiation50, 37, 38  ⊢  
  : , : , :
34instantiation46, 39  ⊢  
  :
35theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
36instantiation40, 41, 42  ⊢  
  : , :
37theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
38instantiation50, 43, 44  ⊢  
  : , : , :
39instantiation50, 51, 45  ⊢  
  : , : , :
40theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
41instantiation46, 47  ⊢  
  :
42instantiation50, 48, 49  ⊢  
  : , : , :
43theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
44theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
45axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
46theorem  ⊢  
 proveit.numbers.negation.int_closure
47instantiation50, 51, 52  ⊢  
  : , : , :
48theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
49theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
50theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
51theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
52theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements