logo

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
3reference40  ⊢  
4theorem  ⊢  
 proveit.numbers.numerals.decimals.nat3
5theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6instantiation13  ⊢  
  : , :
7instantiation14  ⊢  
  : , : , :
8instantiation43, 18, 15  ⊢  
  : , : , :
9instantiation43, 18, 16  ⊢  
  : , : , :
10theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
11instantiation43, 18, 17  ⊢  
  : , : , :
12instantiation43, 18, 19  ⊢  
  : , : , :
13theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
15instantiation43, 23, 20  ⊢  
  : , : , :
16instantiation43, 21, 22  ⊢  
  : , : , :
17theorem  ⊢  
 proveit.physics.quantum.QPE._phase_is_real
18theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
19instantiation43, 23, 24  ⊢  
  : , : , :
20instantiation43, 25, 36  ⊢  
  : , : , :
21theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
22theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
23theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
24instantiation43, 25, 26  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
26instantiation43, 27, 28  ⊢  
  : , : , :
27instantiation29, 30, 31  ⊢  
  : , :
28assumption  ⊢  
29theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
30theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
31instantiation32, 33, 34  ⊢  
  : , :
32theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
33instantiation35, 36, 37  ⊢  
  : , :
34instantiation38, 39  ⊢  
  :
35theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
36instantiation43, 44, 40  ⊢  
  : , : , :
37instantiation43, 41, 42  ⊢  
  : , : , :
38theorem  ⊢  
 proveit.numbers.negation.int_closure
39instantiation43, 44, 45  ⊢  
  : , : , :
40theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
41theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
42axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
43theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
45theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1