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