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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  ⊢  
  : , : , : , :
1theorem  ⊢  
 proveit.numbers.multiplication.elim_one_any
2axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
3reference47  ⊢  
4theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5instantiation8  ⊢  
  : , :
6instantiation45, 20, 9  ⊢  
  : , : , :
7instantiation10, 11, 12  ⊢  
  : , :
8theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
9instantiation45, 26, 13  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.exponentiation.exp_complex_closure
11instantiation45, 20, 14  ⊢  
  : , : , :
12instantiation15, 16  ⊢  
  :
13instantiation45, 17, 18  ⊢  
  : , : , :
14instantiation45, 26, 19  ⊢  
  : , : , :
15theorem  ⊢  
 proveit.numbers.negation.complex_closure
16instantiation45, 20, 21  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
18instantiation22, 23, 24  ⊢  
  : , :
19instantiation45, 33, 25  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
21instantiation45, 26, 27  ⊢  
  : , : , :
22theorem  ⊢  
 proveit.numbers.division.div_rational_pos_closure
23instantiation45, 29, 28  ⊢  
  : , : , :
24instantiation45, 29, 30  ⊢  
  : , : , :
25instantiation45, 31, 32  ⊢  
  : , : , :
26theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
27instantiation45, 33, 35  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat1
29theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
30theorem  ⊢  
 proveit.numbers.numerals.decimals.posnat2
31instantiation34, 35, 36  ⊢  
  : , :
32assumption  ⊢  
33theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
34theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
35instantiation45, 46, 37  ⊢  
  : , : , :
36instantiation38, 39, 40  ⊢  
  : , :
37theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
38theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
39instantiation45, 41, 42  ⊢  
  : , : , :
40instantiation43, 44  ⊢  
  :
41theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
42theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
43theorem  ⊢  
 proveit.numbers.negation.int_closure
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