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