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*	⊢
	: , :
1	theorem		⊢
	proveit.trigonometry.complex_unit_circle_chord_length
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
3	reference	51	⊢
4	instantiation	12, 5, 6	⊢
	: , : , :
5	instantiation	19, 7	⊢
	: , : , :
6	instantiation	12, 8, 9	⊢
	: , : , :
7	instantiation	12, 10, 11	⊢
	: , : , :
8	instantiation	12, 13, 14	⊢
	: , : , :
9	instantiation	15, 24	⊢
	:
10	instantiation	19, 16	⊢
	: , : , :
11	instantiation	17, 42, 18*	⊢
	:
12	axiom		⊢
	proveit.logic.equality.equals_transitivity
13	instantiation	19, 20	⊢
	: , : , :
14	instantiation	21, 22, 23, 24, 25*	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.division.frac_one_denom
16	instantiation	26, 27	⊢
	:
17	theorem		⊢
	proveit.numbers.absolute_value.abs_even
18	instantiation	28, 29, 30, 74, 75, 76, 31*, 32*	⊢
	: , :
19	axiom		⊢
	proveit.logic.equality.substitution
20	instantiation	33, 71, 91, 70, 34, 72, 74, 75, 39	⊢
	: , : , : , : , : , :
21	theorem		⊢
	proveit.numbers.division.frac_cancel_left
22	instantiation	89, 36, 35	⊢
	: , : , :
23	instantiation	89, 36, 37	⊢
	: , : , :
24	instantiation	38, 75, 39	⊢
	: , :
25	instantiation	40, 74	⊢
	:
26	theorem		⊢
	proveit.numbers.addition.elim_zero_left
27	instantiation	41, 42	⊢
	:
28	theorem		⊢
	proveit.numbers.absolute_value.abs_prod
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
30	instantiation	43	⊢
	: , : , :
31	instantiation	45, 44	⊢
	:
32	instantiation	45, 46	⊢
	:
33	theorem		⊢
	proveit.numbers.multiplication.association
34	instantiation	78	⊢
	: , :
35	instantiation	89, 48, 47	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
37	instantiation	89, 48, 49	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
39	instantiation	89, 81, 50	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
41	theorem		⊢
	proveit.numbers.negation.complex_closure
42	instantiation	89, 81, 51	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
44	instantiation	52, 91	⊢
	:
45	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
46	instantiation	53, 54	⊢
	: , :
47	instantiation	89, 56, 55	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
49	instantiation	89, 56, 57	⊢
	: , : , :
50	instantiation	89, 58, 59	⊢
	: , : , :
51	instantiation	60, 61, 62	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
53	theorem		⊢
	proveit.numbers.ordering.relax_less
54	instantiation	63, 86	⊢
	:
55	instantiation	89, 65, 64	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
57	instantiation	89, 65, 66	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
59	instantiation	67, 76	⊢
	:
60	theorem		⊢
	proveit.logic.equality.sub_right_side_into
61	instantiation	77, 68, 82	⊢
	: , :
62	instantiation	69, 70, 91, 71, 72, 73, 74, 75, 76	⊢
	: , : , : , : , : , :
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
64	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
65	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
66	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
67	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
68	instantiation	77, 79, 80	⊢
	: , :
69	theorem		⊢
	proveit.numbers.multiplication.disassociation
70	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
72	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
73	instantiation	78	⊢
	: , :
74	instantiation	89, 81, 79	⊢
	: , : , :
75	instantiation	89, 81, 80	⊢
	: , : , :
76	instantiation	89, 81, 82	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
78	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
79	instantiation	89, 83, 84	⊢
	: , : , :
80	instantiation	89, 85, 86	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
82	assumption		⊢
83	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
84	instantiation	89, 87, 88	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
86	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
87	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
88	instantiation	89, 90, 91	⊢
	: , : , :
89	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
90	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
91	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements