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, 5, 6*, 7*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
2	reference	39	⊢
3	reference	105	⊢
4	instantiation	52, 40, 102	⊢
	: , :
5	instantiation	8, 9, 10	⊢
	: , : , :
6	instantiation	63, 11, 12	⊢
	: , : , :
7	instantiation	13, 14, 15, 16	⊢
	: , : , : , :
8	theorem		⊢
	proveit.logic.equality.sub_right_side_into
9	instantiation	17, 18	⊢
	:
10	instantiation	54, 114, 94, 77, 19, 78, 98, 20, 56, 21*, 22*	⊢
	: , : , : , : , : , :
11	instantiation	26, 114, 94, 77, 28, 78, 23, 32, 56	⊢
	: , : , : , : , : , :
12	instantiation	24, 77, 94, 78, 28, 32, 56	⊢
	: , : , : , :
13	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
14	instantiation	26, 77, 94, 114, 78, 27, 31, 98, 25	⊢
	: , : , : , : , : , :
15	instantiation	26, 94, 77, 27, 28, 78, 31, 98, 32, 56	⊢
	: , : , : , : , : , :
16	instantiation	29, 114, 94, 30, 31, 98, 32, 56, 33*	⊢
	: , : , : , : , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
18	instantiation	60, 62, 34	⊢
	: , :
19	instantiation	87	⊢
	: , :
20	instantiation	112, 101, 35	⊢
	: , : , :
21	instantiation	63, 36, 37	⊢
	: , : , :
22	instantiation	38, 98	⊢
	:
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
24	theorem		⊢
	proveit.numbers.addition.elim_zero_any
25	instantiation	112, 101, 39	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.addition.disassociation
27	instantiation	87	⊢
	: , :
28	instantiation	87	⊢
	: , :
29	theorem		⊢
	proveit.numbers.addition.association
30	instantiation	87	⊢
	: , :
31	instantiation	112, 101, 40	⊢
	: , : , :
32	instantiation	112, 101, 53	⊢
	: , : , :
33	instantiation	41, 42, 43*	⊢
	: , :
34	instantiation	44, 47, 45	⊢
	: , :
35	instantiation	112, 46, 47	⊢
	: , : , :
36	instantiation	48, 114, 94, 77, 49, 78, 98, 80	⊢
	: , : , : , : , : , :
37	instantiation	63, 50, 51	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
39	instantiation	52, 53, 106	⊢
	: , :
40	instantiation	68, 88, 82	⊢
	: , :
41	theorem		⊢
	proveit.logic.equality.equals_reversal
42	instantiation	54, 77, 94, 114, 78, 55, 56, 57, 98, 58*	⊢
	: , : , : , : , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_3
44	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
45	instantiation	112, 71, 59	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
47	instantiation	60, 61, 62	⊢
	: , :
48	theorem		⊢
	proveit.numbers.multiplication.disassociation
49	instantiation	87	⊢
	: , :
50	instantiation	63, 64, 65	⊢
	: , : , :
51	instantiation	66, 67, 80	⊢
	: , :
52	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
53	instantiation	68, 69, 102	⊢
	: , :
54	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
55	instantiation	87	⊢
	: , :
56	instantiation	112, 101, 106	⊢
	: , : , :
57	instantiation	112, 101, 69	⊢
	: , : , :
58	instantiation	70, 98	⊢
	:
59	instantiation	112, 84, 90	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
61	instantiation	112, 71, 72	⊢
	: , : , :
62	instantiation	73, 102, 74	⊢
	:
63	axiom		⊢
	proveit.logic.equality.equals_transitivity
64	instantiation	75, 114, 77, 78, 98, 80	⊢
	: , : , : , : , : , : , :
65	instantiation	76, 77, 94, 114, 78, 79, 98, 80, 81*	⊢
	: , : , : , : , : , :
66	theorem		⊢
	proveit.numbers.multiplication.commutation
67	instantiation	112, 101, 82	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
69	instantiation	112, 108, 83	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
71	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
72	instantiation	112, 84, 85	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
74	instantiation	86, 105, 106, 107	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
76	theorem		⊢
	proveit.numbers.multiplication.association
77	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
78	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
79	instantiation	87	⊢
	: , :
80	instantiation	112, 101, 88	⊢
	: , : , :
81	instantiation	89, 98, 90, 91*, 92*	⊢
	: , : , :
82	instantiation	93, 102, 94	⊢
	: , :
83	instantiation	112, 110, 95	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
85	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
86	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
87	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
88	instantiation	112, 108, 96	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
90	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
91	instantiation	97, 98	⊢
	:
92	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
93	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
94	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
95	instantiation	112, 113, 99	⊢
	: , : , :
96	instantiation	112, 110, 100	⊢
	: , : , :
97	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
98	instantiation	112, 101, 102	⊢
	: , : , :
99	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
100	instantiation	112, 113, 103	⊢
	: , : , :
101	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
102	instantiation	104, 105, 106, 107	⊢
	: , : , :
103	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
104	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
105	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
106	instantiation	112, 108, 109	⊢
	: , : , :
107	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
108	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
109	instantiation	112, 110, 111	⊢
	: , : , :
110	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
111	instantiation	112, 113, 114	⊢
	: , : , :
112	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
113	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
114	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements