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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  ⊢  
  : , : , :
4instantiation47, 25, 9  ⊢  
  : , : , :
5instantiation47, 25, 10  ⊢  
  : , : , :
6theorem  ⊢  
 proveit.logic.equality.sub_right_side_into
7instantiation20, 11, 16  ⊢  
  : , :
8instantiation12, 13, 44, 49, 14, 15, 21, 22, 16  ⊢  
  : , : , : , : , : , :
9instantiation47, 27, 17  ⊢  
  : , : , :
10instantiation47, 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  ⊢  
  : , :
16instantiation47, 25, 24  ⊢  
  : , : , :
17instantiation47, 29, 40  ⊢  
  : , : , :
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
22instantiation47, 25, 26  ⊢  
  : , : , :
23theorem  ⊢  
 proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24instantiation47, 27, 28  ⊢  
  : , : , :
25theorem  ⊢  
 proveit.numbers.number_sets.complex_numbers.real_within_complex
26theorem  ⊢  
 proveit.physics.quantum.QPE._phase_is_real
27theorem  ⊢  
 proveit.numbers.number_sets.real_numbers.rational_within_real
28instantiation47, 29, 30  ⊢  
  : , : , :
29theorem  ⊢  
 proveit.numbers.number_sets.rational_numbers.int_within_rational
30instantiation47, 31, 32  ⊢  
  : , : , :
31instantiation33, 34, 35  ⊢  
  : , :
32assumption  ⊢  
33theorem  ⊢  
 proveit.numbers.number_sets.integers.int_interval_within_int
34theorem  ⊢  
 proveit.numbers.number_sets.integers.zero_is_int
35instantiation36, 37, 38  ⊢  
  : , :
36theorem  ⊢  
 proveit.numbers.addition.add_int_closure_bin
37instantiation39, 40, 41  ⊢  
  : , :
38instantiation42, 43  ⊢  
  :
39theorem  ⊢  
 proveit.numbers.exponentiation.exp_int_closure
40instantiation47, 48, 44  ⊢  
  : , : , :
41instantiation47, 45, 46  ⊢  
  : , : , :
42theorem  ⊢  
 proveit.numbers.negation.int_closure
43instantiation47, 48, 49  ⊢  
  : , : , :
44theorem  ⊢  
 proveit.numbers.numerals.decimals.nat2
45theorem  ⊢  
 proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
46axiom  ⊢  
 proveit.physics.quantum.QPE._t_in_natural_pos
47theorem  ⊢  
 proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48theorem  ⊢  
 proveit.numbers.number_sets.integers.nat_within_int
49theorem  ⊢  
 proveit.numbers.numerals.decimals.nat1