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, 4, 5, 6, 7, 8*	, , ,  ⊢
	: , :
1	theorem		⊢
	proveit.numbers.absolute_value.abs_prod
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
3	instantiation	9	⊢
	: , : , : , :
4	reference	55	⊢
5	reference	32	⊢
6	instantiation	10, 11, 12	⊢
	: , :
7	reference	33	⊢
8	instantiation	13, 14, 15	, , ,  ⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
10	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
11	instantiation	56, 57, 16	⊢
	: , : , :
12	instantiation	17, 18, 19	⊢
	: , :
13	axiom		⊢
	proveit.logic.equality.equals_transitivity
14	instantiation	20, 21, 22, 23, 24, 25, 26	, ,  ⊢
	: , : , : , :
15	instantiation	27, 28, 29, 30, 31, 32, 33	, ,  ⊢
	: , : , : , :
16	instantiation	56, 50, 34	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
19	instantiation	56, 57, 38	⊢
	: , : , :
20	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
22	instantiation	35	⊢
	: , : , :
23	instantiation	35	⊢
	: , : , :
24	instantiation	39, 36	⊢
	:
25	instantiation	37, 38	⊢
	:
26	instantiation	39, 40	⊢
	:
27	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
30	instantiation	41	⊢
	: , :
31	instantiation	56, 57, 42	⊢
	: , : , :
32	instantiation	56, 57, 43	⊢
	: , : , :
33	instantiation	56, 57, 44	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
36	instantiation	46, 45	⊢
	: , :
37	theorem		⊢
	proveit.numbers.absolute_value.complex_unit_length
38	assumption		⊢
39	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
40	instantiation	46, 47	⊢
	: , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
42	instantiation	56, 48, 49	⊢
	: , : , :
43	instantiation	56, 50, 51	⊢
	: , : , :
44	instantiation	56, 50, 53	⊢
	: , : , :
45	instantiation	52, 51	⊢
	:
46	theorem		⊢
	proveit.numbers.ordering.relax_less
47	instantiation	52, 53	⊢
	:
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
49	instantiation	54, 55	⊢
	:
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
51	assumption		⊢
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
53	assumption		⊢
54	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
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