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