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	theorem		⊢
	proveit.trigonometry.sine_linear_bound_nonpos
2	instantiation	4, 57, 5	⊢
	:
3	instantiation	6, 7, 65, 57, 8, 9*, 10*	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonpos_real_is_real_nonpos
5	instantiation	13, 11	⊢
	: , :
6	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
7	instantiation	12, 51, 73	⊢
	: , :
8	instantiation	13, 14	⊢
	: , :
9	instantiation	54, 15, 16	⊢
	: , : , :
10	instantiation	17, 18, 32, 19	⊢
	: , : , : , :
11	instantiation	20, 65, 66, 67	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
13	theorem		⊢
	proveit.numbers.ordering.relax_less
14	instantiation	21, 65, 66, 67	⊢
	: , : , :
15	instantiation	54, 22, 23	⊢
	: , : , :
16	instantiation	54, 24, 25	⊢
	: , : , :
17	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
18	instantiation	54, 26, 27	⊢
	: , : , :
19	instantiation	28, 37	⊢
	: , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oo_upper_bound
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oo_lower_bound
22	instantiation	59, 29	⊢
	: , : , :
23	instantiation	59, 33	⊢
	: , : , :
24	instantiation	38, 39, 106, 40, 41, 42, 30, 43, 46	⊢
	: , : , : , : , : , :
25	instantiation	31, 46, 43, 32	⊢
	: , : , :
26	instantiation	59, 33	⊢
	: , : , :
27	instantiation	54, 34, 35	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.equality.equals_reversal
29	instantiation	59, 37	⊢
	: , : , :
30	instantiation	36, 46	⊢
	:
31	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_31
32	instantiation	53	⊢
	:
33	instantiation	59, 37	⊢
	: , : , :
34	instantiation	38, 39, 106, 40, 41, 42, 45, 43, 46	⊢
	: , : , : , : , : , :
35	instantiation	44, 45, 46, 47	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.negation.complex_closure
37	instantiation	48, 62, 77, 81, 49*	⊢
	: , :
38	theorem		⊢
	proveit.numbers.addition.disassociation
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
40	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
41	instantiation	50	⊢
	: , :
42	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
43	instantiation	104, 84, 51	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
45	instantiation	104, 84, 57	⊢
	: , : , :
46	instantiation	104, 84, 52	⊢
	: , : , :
47	instantiation	53	⊢
	:
48	theorem		⊢
	proveit.numbers.division.div_as_mult
49	instantiation	54, 55, 56	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
51	instantiation	72, 57	⊢
	:
52	instantiation	58, 71, 80	⊢
	: , :
53	axiom		⊢
	proveit.logic.equality.equals_reflexivity
54	axiom		⊢
	proveit.logic.equality.equals_transitivity
55	instantiation	59, 60	⊢
	: , : , :
56	instantiation	61, 62, 63	⊢
	: , :
57	instantiation	64, 65, 66, 67	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
59	axiom		⊢
	proveit.logic.equality.substitution
60	instantiation	68, 69, 101, 70*	⊢
	: , :
61	theorem		⊢
	proveit.numbers.multiplication.commutation
62	instantiation	104, 84, 80	⊢
	: , : , :
63	instantiation	104, 84, 71	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oo__is__real
65	instantiation	72, 73	⊢
	:
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
67	assumption		⊢
68	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
69	instantiation	104, 74, 75	⊢
	: , : , :
70	instantiation	76, 77	⊢
	:
71	instantiation	104, 93, 78	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.negation.real_closure
73	instantiation	79, 80, 85, 81	⊢
	: , :
74	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
75	instantiation	104, 82, 83	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
77	instantiation	104, 84, 85	⊢
	: , : , :
78	instantiation	104, 86, 87	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.division.div_real_closure
80	instantiation	104, 88, 89	⊢
	: , : , :
81	instantiation	90, 103	⊢
	:
82	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
83	instantiation	104, 91, 92	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
85	instantiation	104, 93, 94	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
87	instantiation	95, 96, 97	⊢
	: , :
88	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
89	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
90	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
91	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
92	instantiation	104, 98, 103	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
94	instantiation	104, 99, 100	⊢
	: , : , :
95	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
96	instantiation	104, 102, 101	⊢
	: , : , :
97	instantiation	104, 102, 103	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
99	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
100	instantiation	104, 105, 106	⊢
	: , : , :
101	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
102	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
103	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
104	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
105	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
106	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements