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