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