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	50	⊢
2	instantiation	53, 4	,  ⊢
	: , : , :
3	instantiation	5, 6, 7*	,  ⊢
	:
4	instantiation	50, 8, 9	,  ⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.absolute_value.abs_even
6	instantiation	43, 29, 15	,  ⊢
	: , :
7	instantiation	10, 11, 12, 29, 15, 13*	,  ⊢
	: , :
8	instantiation	53, 14	⊢
	: , : , :
9	instantiation	30, 29, 15	,  ⊢
	: , :
10	theorem		⊢
	proveit.numbers.absolute_value.abs_prod
11	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
12	instantiation	34	⊢
	: , :
13	instantiation	50, 16, 17	,  ⊢
	: , : , :
14	instantiation	53, 18	⊢
	: , : , :
15	instantiation	19, 20, 21	⊢
	: , :
16	instantiation	22, 23, 24, 25, 26, 27	,  ⊢
	: , : , : , :
17	instantiation	28, 29	⊢
	:
18	instantiation	30, 60, 59	⊢
	: , :
19	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
20	instantiation	61, 62, 31	⊢
	: , : , :
21	instantiation	32, 33	⊢
	:
22	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
24	instantiation	34	⊢
	: , :
25	instantiation	34	⊢
	: , :
26	instantiation	35, 36	⊢
	:
27	instantiation	37, 38, 39*	⊢
	:
28	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
29	instantiation	61, 62, 40	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.negation.neg_times_pos
31	instantiation	61, 41, 42	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.negation.complex_closure
33	instantiation	43, 60, 59	⊢
	: , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
35	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
36	instantiation	44, 48	⊢
	:
37	theorem		⊢
	proveit.numbers.absolute_value.complex_unit_length
38	instantiation	45, 63	⊢
	:
39	instantiation	55, 46	⊢
	: , :
40	instantiation	61, 47, 48	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
43	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonneg_if_in_real_nonneg
45	theorem		⊢
	proveit.numbers.negation.real_closure
46	instantiation	53, 49	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
48	assumption		⊢
49	instantiation	50, 51, 52	⊢
	: , : , :
50	axiom		⊢
	proveit.logic.equality.equals_transitivity
51	instantiation	53, 54	⊢
	: , : , :
52	instantiation	55, 56	⊢
	: , :
53	axiom		⊢
	proveit.logic.equality.substitution
54	instantiation	57, 60, 59	⊢
	: , :
55	theorem		⊢
	proveit.logic.equality.equals_reversal
56	instantiation	58, 59, 60	⊢
	: , :
57	theorem		⊢
	proveit.numbers.multiplication.commutation
58	theorem		⊢
	proveit.numbers.negation.pos_times_neg
59	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
60	instantiation	61, 62, 63	⊢
	: , : , :
61	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
62	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
63	assumption		⊢
*equality replacement requirements