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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  ⊢  
  : , : , :
1reference6  ⊢  
2instantiation4, 5  ⊢  
  : , : , :
3instantiation6, 7, 8  ⊢  
  : , : , :
4axiom  ⊢  
 proveit.logic.equality.substitution
5instantiation9, 10  ⊢  
  :
6axiom  ⊢  
 proveit.logic.equality.equals_transitivity
7instantiation11, 38, 48, 14, 16, 15, 12, 17, 18  ⊢  
  : , : , : , : , : , :
8instantiation13, 14, 48, 15, 16, 17, 18  ⊢  
  : , : , : , :
9theorem  ⊢  
 proveit.numbers.multiplication.mult_zero_right
10instantiation46, 25, 19  ⊢  
  : , : , :
11theorem  ⊢  
 proveit.numbers.addition.disassociation
12theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.zero_is_complex
13theorem  ⊢  
 proveit.numbers.addition.elim_zero_any
14axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
15theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16instantiation20  ⊢  
  : , :
17instantiation21, 22  ⊢  
  :
18instantiation46, 25, 23  ⊢  
  : , : , :
19instantiation46, 28, 24  ⊢  
  : , : , :
20theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21theorem  ⊢  
 proveit.numbers.negation.complex_closure
22instantiation46, 25, 26  ⊢  
  : , : , :
23instantiation46, 28, 27  ⊢  
  : , : , :
24instantiation46, 31, 45  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
26instantiation46, 28, 29  ⊢  
  : , : , :
27instantiation46, 31, 30  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
29instantiation46, 31, 32  ⊢  
  : , : , :
30instantiation44, 36  ⊢  
  :
31theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
32instantiation46, 33, 34  ⊢  
  : , : , :
33instantiation35, 36, 37  ⊢  
  : , :
34assumption  ⊢  
35theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
36instantiation46, 47, 38  ⊢  
  : , : , :
37instantiation39, 40, 41  ⊢  
  : , :
38theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1
39theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
40instantiation46, 42, 43  ⊢  
  : , : , :
41instantiation44, 45  ⊢  
  :
42theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_pos_within_int
43theorem  ⊢  
 proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
44theorem  ⊢  
 proveit.numbers.negation.int_closure
45instantiation46, 47, 48  ⊢  
  : , : , :
46theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
48theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2