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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,  ⊢  
  : , :
1reference20  ⊢  
2instantiation20, 4, 5  ⊢  
  : , :
3instantiation6, 7, 8,  ⊢  
  : , : , :
4instantiation50, 25, 9  ⊢  
  : , : , :
5instantiation50, 25, 10  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
7instantiation20, 11, 16,  ⊢  
  : , :
8instantiation12, 13, 47, 52, 14, 15, 21, 22, 16,  ⊢  
  : , : , : , : , : , :
9instantiation50, 28, 17  ⊢  
  : , : , :
10instantiation50, 18, 19  ⊢  
  : , : , :
11instantiation20, 21, 22  ⊢  
  : , :
12theorem  ⊢  
 proveit.numbers.multiplication.disassociation
13axiom  ⊢  
 proveit.numbers.number_sets.natural_numbers.zero_in_nats
14theorem  ⊢  
 proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15instantiation23  ⊢  
  : , :
16instantiation50, 25, 24  ⊢  
  : , : , :
17instantiation50, 31, 43  ⊢  
  : , : , :
18theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.real_pos_within_real
19theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.pi_is_real_pos
20theorem  ⊢  
 proveit.numbers.multiplication.mult_complex_closure_bin
21theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.i_is_complex
22instantiation50, 25, 26  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24instantiation50, 28, 27  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
26instantiation50, 28, 29  ⊢  
  : , : , :
27instantiation50, 31, 30  ⊢  
  : , : , :
28theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
29instantiation50, 31, 32  ⊢  
  : , : , :
30instantiation50, 34, 33  ⊢  
  : , : , :
31theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
32instantiation50, 34, 35  ⊢  
  : , : , :
33assumption  ⊢  
34instantiation36, 37, 38  ⊢  
  : , :
35assumption  ⊢  
36theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
37theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
38instantiation39, 40, 41  ⊢  
  : , :
39theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
40instantiation42, 43, 44  ⊢  
  : , :
41instantiation45, 46  ⊢  
  :
42theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
43instantiation50, 51, 47  ⊢  
  : , : , :
44instantiation50, 48, 49  ⊢  
  : , : , :
45theorem  ⊢  
 proveit.numbers.negation.int_closure
46instantiation50, 51, 52  ⊢  
  : , : , :
47theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
48theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
49axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
50theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
51theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
52theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1