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