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	reference	49	⊢
2	instantiation	18, 4	, ,  ⊢
	: , : , :
3	instantiation	5, 56, 85, 59, 6, 60, 7, 8, 9, 10*	, , , ,  ⊢
	: , : , : , : , : , :
4	instantiation	49, 11, 12	, ,  ⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.multiplication.association
6	instantiation	69	⊢
	: , :
7	instantiation	83, 73, 13	,  ⊢
	: , : , :
8	instantiation	14, 15, 16	, ,  ⊢
	: , :
9	instantiation	14, 15, 17	⊢
	: , :
10	instantiation	28, 29, 16, 17	, , ,  ⊢
	: , : , :
11	instantiation	18, 19	,  ⊢
	: , : , :
12	instantiation	20, 29, 24, 25	, ,  ⊢
	: , : , :
13	instantiation	21, 22, 53	,  ⊢
	: , :
14	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
15	instantiation	83, 73, 23	⊢
	: , : , :
16	instantiation	66, 24, 25	, ,  ⊢
	: , :
17	instantiation	39, 26, 27	⊢
	: , : , :
18	axiom		⊢
	proveit.logic.equality.substitution
19	instantiation	28, 29, 31, 32	,  ⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.exponentiation.complex_power_of_complex_power
21	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
22	assumption		⊢
23	instantiation	83, 79, 29	⊢
	: , : , :
24	instantiation	30, 31, 32	,  ⊢
	: , :
25	instantiation	83, 73, 33	⊢
	: , : , :
26	instantiation	66, 57, 34	⊢
	: , :
27	instantiation	49, 35, 36	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.exponentiation.product_of_complex_powers
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
30	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
31	instantiation	39, 37, 38	⊢
	: , : , :
32	instantiation	39, 40, 41	⊢
	: , : , :
33	instantiation	83, 77, 42	⊢
	: , : , :
34	instantiation	66, 63, 44	⊢
	: , :
35	instantiation	58, 56, 85, 59, 43, 60, 57, 63, 44	⊢
	: , : , : , : , : , :
36	instantiation	58, 59, 85, 60, 61, 43, 67, 68, 63, 44	⊢
	: , : , : , : , : , :
37	instantiation	66, 57, 45	⊢
	: , :
38	instantiation	49, 46, 47	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.equality.sub_right_side_into
40	instantiation	66, 57, 48	⊢
	: , :
41	instantiation	49, 50, 51	⊢
	: , : , :
42	instantiation	83, 81, 52	⊢
	: , : , :
43	instantiation	69	⊢
	: , :
44	instantiation	83, 73, 53	⊢
	: , : , :
45	instantiation	66, 63, 55	⊢
	: , :
46	instantiation	58, 56, 85, 59, 54, 60, 57, 63, 55	⊢
	: , : , : , : , : , :
47	instantiation	58, 59, 85, 60, 61, 54, 67, 68, 63, 55	⊢
	: , : , : , : , : , :
48	instantiation	66, 63, 64	⊢
	: , :
49	axiom		⊢
	proveit.logic.equality.equals_transitivity
50	instantiation	58, 56, 85, 59, 62, 60, 57, 63, 64	⊢
	: , : , : , : , : , :
51	instantiation	58, 59, 85, 60, 61, 62, 67, 68, 63, 64	⊢
	: , : , : , : , : , :
52	assumption		⊢
53	assumption		⊢
54	instantiation	69	⊢
	: , :
55	instantiation	83, 73, 65	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
57	instantiation	66, 67, 68	⊢
	: , :
58	theorem		⊢
	proveit.numbers.multiplication.disassociation
59	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
60	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
61	instantiation	69	⊢
	: , :
62	instantiation	69	⊢
	: , :
63	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
64	instantiation	83, 73, 70	⊢
	: , : , :
65	instantiation	83, 77, 71	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
67	instantiation	83, 73, 72	⊢
	: , : , :
68	instantiation	83, 73, 74	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
70	instantiation	83, 79, 75	⊢
	: , : , :
71	instantiation	83, 81, 76	⊢
	: , : , :
72	instantiation	83, 77, 78	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
74	instantiation	83, 79, 80	⊢
	: , : , :
75	assumption		⊢
76	assumption		⊢
77	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
78	instantiation	83, 81, 82	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
80	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
81	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
82	instantiation	83, 84, 85	⊢
	: , : , :
83	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
84	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
85	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements