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*	, , ,  ⊢
	: , : , :
1	theorem		⊢
	proveit.trigonometry.complex_circle_chord_length
2	instantiation	8, 9, 10	,  ⊢
	: , :
3	reference	67	⊢
4	reference	72	⊢
5	instantiation	12, 11	, ,  ⊢
	: , :
6	instantiation	12, 13	, ,  ⊢
	: , :
7	instantiation	14, 26, 66, 28, 15, 29, 30, 16	, , ,  ⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.numbers.multiplication.mult_real_nonneg_closure_bin
9	instantiation	70, 17, 45	⊢
	: , : , :
10	instantiation	70, 17, 46	⊢
	: , : , :
11	instantiation	18, 19, 20	, ,  ⊢
	: , : , :
12	theorem		⊢
	proveit.logic.equality.equals_reversal
13	instantiation	24, 25, 66, 26, 27, 28, 29, 30, 21	, ,  ⊢
	: , : , : , : , : , :
14	theorem		⊢
	proveit.numbers.multiplication.disassociation
15	instantiation	70, 71, 43	⊢
	: , : , :
16	instantiation	70, 71, 22	,  ⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonneg
18	axiom		⊢
	proveit.logic.equality.equals_transitivity
19	instantiation	23, 26, 25, 27, 29, 31, 30	, ,  ⊢
	: , : , : , : , : , : , :
20	instantiation	24, 25, 66, 26, 27, 28, 29, 30, 31	, ,  ⊢
	: , : , : , : , : , :
21	instantiation	38, 39, 32	⊢
	: , :
22	instantiation	33, 34	,  ⊢
	:
23	theorem		⊢
	proveit.numbers.multiplication.rightward_commutation
24	theorem		⊢
	proveit.numbers.multiplication.association
25	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
27	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28	instantiation	35	⊢
	: , :
29	instantiation	70, 71, 36	⊢
	: , : , :
30	instantiation	70, 71, 37	⊢
	: , : , :
31	instantiation	38, 39, 40	⊢
	: , :
32	instantiation	48, 49, 69	⊢
	: , :
33	theorem		⊢
	proveit.trigonometry.real_closure
34	instantiation	41, 42, 43, 44	,  ⊢
	: , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
36	instantiation	70, 56, 45	⊢
	: , : , :
37	instantiation	70, 56, 46	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
39	instantiation	70, 71, 47	⊢
	: , : , :
40	instantiation	48, 49, 63	⊢
	: , :
41	theorem		⊢
	proveit.numbers.division.div_real_closure
42	instantiation	70, 50, 51	,  ⊢
	: , : , :
43	instantiation	70, 52, 53	⊢
	: , : , :
44	instantiation	54, 55	⊢
	:
45	assumption		⊢
46	assumption		⊢
47	instantiation	70, 56, 57	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
49	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
51	instantiation	58, 59	,  ⊢
	:
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
53	instantiation	70, 60, 61	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
55	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
58	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
59	instantiation	62, 63, 64	,  ⊢
	: , :
60	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
61	instantiation	70, 65, 66	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
63	instantiation	70, 71, 67	⊢
	: , : , :
64	instantiation	68, 69	⊢
	:
65	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
66	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
67	assumption		⊢
68	theorem		⊢
	proveit.numbers.negation.complex_closure
69	instantiation	70, 71, 72	⊢
	: , : , :
70	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
71	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
72	assumption		⊢
*equality replacement requirements