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	25	⊢
2	instantiation	18, 4	⊢
	: , : , :
3	instantiation	25, 5, 6	⊢
	: , : , :
4	instantiation	25, 7, 8	⊢
	: , : , :
5	instantiation	25, 9, 10	⊢
	: , : , :
6	instantiation	11, 23	⊢
	:
7	instantiation	18, 12	⊢
	: , : , :
8	instantiation	13, 14, 15, 76, 77, 78, 16*, 17*	⊢
	: , :
9	instantiation	18, 19	⊢
	: , : , :
10	instantiation	20, 21, 22, 23, 24*	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.division.frac_one_denom
12	instantiation	25, 26, 27	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.absolute_value.abs_prod
14	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
15	instantiation	28	⊢
	: , : , :
16	instantiation	30, 29	⊢
	:
17	instantiation	30, 31	⊢
	:
18	axiom		⊢
	proveit.logic.equality.substitution
19	instantiation	32, 73, 93, 72, 33, 74, 76, 77, 38	⊢
	: , : , : , : , : , :
20	theorem		⊢
	proveit.numbers.division.frac_cancel_left
21	instantiation	91, 35, 34	⊢
	: , : , :
22	instantiation	91, 35, 36	⊢
	: , : , :
23	instantiation	37, 77, 38	⊢
	: , :
24	instantiation	39, 76	⊢
	:
25	axiom		⊢
	proveit.logic.equality.equals_transitivity
26	instantiation	40, 72, 93, 73, 74, 41, 44, 77, 42	⊢
	: , : , : , : , : , :
27	instantiation	43, 77, 44, 45	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
29	instantiation	46, 93	⊢
	:
30	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
31	instantiation	47, 48	⊢
	: , :
32	theorem		⊢
	proveit.numbers.multiplication.association
33	instantiation	80	⊢
	: , :
34	instantiation	91, 50, 49	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
36	instantiation	91, 50, 51	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
38	instantiation	91, 83, 52	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
40	theorem		⊢
	proveit.numbers.addition.disassociation
41	instantiation	80	⊢
	: , :
42	instantiation	91, 83, 53	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_23
44	instantiation	91, 83, 54	⊢
	: , : , :
45	instantiation	55	⊢
	:
46	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
47	theorem		⊢
	proveit.numbers.ordering.relax_less
48	instantiation	56, 88	⊢
	:
49	instantiation	91, 58, 57	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
51	instantiation	91, 58, 59	⊢
	: , : , :
52	instantiation	91, 60, 61	⊢
	: , : , :
53	instantiation	62, 82	⊢
	:
54	instantiation	63, 64, 65	⊢
	: , : , :
55	axiom		⊢
	proveit.logic.equality.equals_reflexivity
56	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
57	instantiation	91, 67, 66	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
59	instantiation	91, 67, 68	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
61	instantiation	69, 78	⊢
	:
62	theorem		⊢
	proveit.numbers.negation.real_closure
63	theorem		⊢
	proveit.logic.equality.sub_right_side_into
64	instantiation	79, 70, 84	⊢
	: , :
65	instantiation	71, 72, 93, 73, 74, 75, 76, 77, 78	⊢
	: , : , : , : , : , :
66	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
67	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
68	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
69	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
70	instantiation	79, 81, 82	⊢
	: , :
71	theorem		⊢
	proveit.numbers.multiplication.disassociation
72	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
73	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
74	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
75	instantiation	80	⊢
	: , :
76	instantiation	91, 83, 81	⊢
	: , : , :
77	instantiation	91, 83, 82	⊢
	: , : , :
78	instantiation	91, 83, 84	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
80	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
81	instantiation	91, 85, 86	⊢
	: , : , :
82	instantiation	91, 87, 88	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
84	assumption		⊢
85	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
86	instantiation	91, 89, 90	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
88	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
89	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
90	instantiation	91, 92, 93	⊢
	: , : , :
91	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
92	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
93	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements