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	45	⊢
2	instantiation	48, 4	⊢
	: , : , :
3	instantiation	5, 6, 7, 27, 8, 9*	,  ⊢
	: , :
4	instantiation	48, 10	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.absolute_value.abs_prod
6	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
7	instantiation	32	⊢
	: , :
8	instantiation	11, 12, 13	⊢
	: , :
9	instantiation	45, 14, 15	,  ⊢
	: , : , :
10	instantiation	48, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
12	instantiation	56, 57, 17	⊢
	: , : , :
13	instantiation	18, 19	⊢
	:
14	instantiation	20, 21, 22, 23, 24, 25	,  ⊢
	: , : , : , :
15	instantiation	26, 27	⊢
	:
16	instantiation	28, 55, 54	⊢
	: , :
17	instantiation	56, 29, 30	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.negation.complex_closure
19	instantiation	31, 55, 54	⊢
	: , :
20	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
22	instantiation	32	⊢
	: , :
23	instantiation	32	⊢
	: , :
24	instantiation	33, 34	⊢
	:
25	instantiation	35, 36, 37*	⊢
	:
26	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
27	instantiation	56, 57, 38	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.negation.neg_times_pos
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
31	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
33	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
34	instantiation	39, 43	⊢
	:
35	theorem		⊢
	proveit.numbers.absolute_value.complex_unit_length
36	instantiation	40, 58	⊢
	:
37	instantiation	50, 41	⊢
	: , :
38	instantiation	56, 42, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonneg_if_in_real_nonneg
40	theorem		⊢
	proveit.numbers.negation.real_closure
41	instantiation	48, 44	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
43	assumption		⊢
44	instantiation	45, 46, 47	⊢
	: , : , :
45	axiom		⊢
	proveit.logic.equality.equals_transitivity
46	instantiation	48, 49	⊢
	: , : , :
47	instantiation	50, 51	⊢
	: , :
48	axiom		⊢
	proveit.logic.equality.substitution
49	instantiation	52, 55, 54	⊢
	: , :
50	theorem		⊢
	proveit.logic.equality.equals_reversal
51	instantiation	53, 54, 55	⊢
	: , :
52	theorem		⊢
	proveit.numbers.multiplication.commutation
53	theorem		⊢
	proveit.numbers.negation.pos_times_neg
54	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
55	instantiation	56, 57, 58	⊢
	: , : , :
56	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
57	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
58	assumption		⊢
*equality replacement requirements