Show the Proof

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

	step type	requirements	statement
0	deduction	1	⊢
1	instantiation	2, 3, 4	,  ⊢
	: , :
2	theorem		⊢
	proveit.numbers.multiplication.commutation
3	instantiation	6, 7, 5	⊢
	: , :
4	instantiation	6, 7, 8	,  ⊢
	: , :
5	instantiation	39, 9, 10	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
7	instantiation	91, 63, 11	⊢
	: , : , :
8	instantiation	12, 13	,  ⊢
	:
9	instantiation	56, 42, 14	⊢
	: , :
10	instantiation	33, 15, 16	⊢
	: , : , :
11	instantiation	91, 67, 17	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.negation.complex_closure
13	instantiation	18, 19, 20, 21	,  ⊢
	: , :
14	instantiation	39, 22, 23	⊢
	: , : , :
15	instantiation	48, 93, 43, 49, 24, 50, 42, 57, 38, 58	⊢
	: , : , : , : , : , :
16	instantiation	48, 49, 88, 43, 50, 44, 24, 53, 54, 57, 38, 58	⊢
	: , : , : , : , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
18	theorem		⊢
	proveit.numbers.division.div_complex_closure
19	instantiation	39, 25, 26	,  ⊢
	: , : , :
20	instantiation	91, 63, 27	⊢
	: , : , :
21	instantiation	28, 29	⊢
	:
22	instantiation	56, 30, 58	⊢
	: , :
23	instantiation	48, 49, 88, 93, 50, 31, 57, 38, 58	⊢
	: , : , : , : , : , :
24	instantiation	55	⊢
	: , : , :
25	instantiation	56, 42, 32	,  ⊢
	: , :
26	instantiation	33, 34, 35	,  ⊢
	: , : , :
27	instantiation	91, 69, 36	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
29	instantiation	37, 88, 85	⊢
	: , :
30	instantiation	56, 57, 38	⊢
	: , :
31	instantiation	59	⊢
	: , :
32	instantiation	39, 40, 41	,  ⊢
	: , : , :
33	axiom		⊢
	proveit.logic.equality.equals_transitivity
34	instantiation	48, 93, 43, 49, 45, 50, 42, 57, 58, 52	,  ⊢
	: , : , : , : , : , :
35	instantiation	48, 49, 88, 43, 50, 44, 45, 53, 54, 57, 58, 52	,  ⊢
	: , : , : , : , : , :
36	instantiation	91, 72, 81	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
38	instantiation	91, 63, 46	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.equality.sub_right_side_into
40	instantiation	56, 47, 52	,  ⊢
	: , :
41	instantiation	48, 49, 88, 93, 50, 51, 57, 58, 52	,  ⊢
	: , : , : , : , : , :
42	instantiation	56, 53, 54	⊢
	: , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
44	instantiation	59	⊢
	: , :
45	instantiation	55	⊢
	: , : , :
46	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
47	instantiation	56, 57, 58	⊢
	: , :
48	theorem		⊢
	proveit.numbers.multiplication.disassociation
49	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
50	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
51	instantiation	59	⊢
	: , :
52	instantiation	91, 63, 60	⊢
	: , : , :
53	instantiation	91, 63, 61	⊢
	: , : , :
54	instantiation	91, 63, 62	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
56	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
57	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
58	instantiation	91, 63, 64	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
60	instantiation	91, 69, 65	⊢
	: , : , :
61	instantiation	91, 69, 66	⊢
	: , : , :
62	instantiation	91, 67, 68	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
64	instantiation	91, 69, 70	⊢
	: , : , :
65	instantiation	91, 72, 71	⊢
	: , : , :
66	instantiation	91, 72, 84	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
70	instantiation	91, 72, 73	⊢
	: , : , :
71	instantiation	91, 75, 74	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
73	instantiation	91, 75, 76	⊢
	: , : , :
74	assumption		⊢
75	instantiation	77, 78, 79	⊢
	: , :
76	assumption		⊢
77	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
78	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
79	instantiation	80, 81, 82	⊢
	: , :
80	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
81	instantiation	83, 84, 85	⊢
	: , :
82	instantiation	86, 87	⊢
	:
83	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
84	instantiation	91, 92, 88	⊢
	: , : , :
85	instantiation	91, 89, 90	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.negation.int_closure
87	instantiation	91, 92, 93	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
89	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
90	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
91	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
92	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
93	theorem		⊢
	proveit.numbers.numerals.decimals.nat1