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	,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.number_sets.integers.in_interval
2	instantiation	77, 49, 117	⊢
	: , :
3	reference	78	⊢
4	instantiation	121, 6, 30	,  ⊢
	: , : , :
5	instantiation	7, 8, 9	,  ⊢
	: , :
6	instantiation	67, 29, 78	⊢
	: , :
7	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
8	instantiation	10, 11	,  ⊢
	: , :
9	instantiation	12, 29, 78, 30	,  ⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.ordering.relax_less
11	instantiation	13, 14, 15	,  ⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
13	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less
14	instantiation	16, 31, 105, 17, 18, 19*, 20*	⊢
	: , : , :
15	instantiation	56, 21, 22	,  ⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
17	instantiation	101, 102, 91	⊢
	: , : , :
18	instantiation	23, 91	⊢
	:
19	instantiation	80, 95, 24	⊢
	: , :
20	instantiation	32, 25, 26	⊢
	: , : , :
21	instantiation	27, 28	⊢
	:
22	instantiation	68, 29, 78, 30	,  ⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
24	instantiation	121, 104, 31	⊢
	: , : , :
25	instantiation	32, 33, 34	⊢
	: , : , :
26	instantiation	35, 36, 37	⊢
	: , :
27	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
28	instantiation	38, 39, 89	⊢
	: , :
29	instantiation	77, 47, 117	⊢
	: , :
30	assumption		⊢
31	instantiation	121, 111, 40	⊢
	: , : , :
32	axiom		⊢
	proveit.logic.equality.equals_transitivity
33	instantiation	74, 50	⊢
	: , : , :
34	instantiation	74, 41	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
36	instantiation	42, 43, 44	⊢
	: , :
37	instantiation	45	⊢
	:
38	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
39	instantiation	46, 47, 48	⊢
	:
40	instantiation	121, 116, 49	⊢
	: , : , :
41	instantiation	74, 50	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
43	instantiation	51, 95, 52, 53	⊢
	: , :
44	instantiation	121, 104, 54	⊢
	: , : , :
45	axiom		⊢
	proveit.logic.equality.equals_reflexivity
46	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
47	instantiation	121, 55, 70	⊢
	: , : , :
48	instantiation	56, 57, 58	⊢
	: , : , :
49	instantiation	92, 78	⊢
	:
50	instantiation	59, 60, 61, 62	⊢
	: , : , : , :
51	theorem		⊢
	proveit.numbers.division.div_complex_closure
52	instantiation	63, 84, 95	⊢
	: , :
53	instantiation	64, 86, 65	⊢
	: , : , :
54	instantiation	101, 102, 66	⊢
	: , : , :
55	instantiation	67, 117, 69	⊢
	: , :
56	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
57	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
58	instantiation	68, 117, 69, 70	⊢
	: , : , :
59	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
60	instantiation	74, 71	⊢
	: , : , :
61	instantiation	72, 73	⊢
	: , :
62	instantiation	74, 75	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
64	theorem		⊢
	proveit.logic.equality.sub_left_side_into
65	instantiation	76, 84	⊢
	:
66	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
67	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
68	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
69	instantiation	77, 78, 79	⊢
	: , :
70	assumption		⊢
71	instantiation	80, 81, 82	⊢
	: , :
72	theorem		⊢
	proveit.logic.equality.equals_reversal
73	instantiation	83, 84, 85, 93, 86	⊢
	: , : , :
74	axiom		⊢
	proveit.logic.equality.substitution
75	instantiation	87, 88, 89	⊢
	: , :
76	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
77	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
78	instantiation	121, 90, 91	⊢
	: , : , :
79	instantiation	92, 113	⊢
	:
80	theorem		⊢
	proveit.numbers.addition.commutation
81	instantiation	121, 104, 93	⊢
	: , : , :
82	instantiation	94, 95	⊢
	:
83	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
84	instantiation	121, 104, 96	⊢
	: , : , :
85	instantiation	97, 105	⊢
	:
86	instantiation	98, 120	⊢
	:
87	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
88	instantiation	121, 99, 100	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
90	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
91	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
92	theorem		⊢
	proveit.numbers.negation.int_closure
93	instantiation	101, 102, 103	⊢
	: , : , :
94	theorem		⊢
	proveit.numbers.negation.complex_closure
95	instantiation	121, 104, 105	⊢
	: , : , :
96	instantiation	121, 111, 106	⊢
	: , : , :
97	theorem		⊢
	proveit.numbers.negation.real_closure
98	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
99	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
100	instantiation	121, 107, 108	⊢
	: , : , :
101	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
102	instantiation	109, 110	⊢
	: , :
103	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
104	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
105	instantiation	121, 111, 112	⊢
	: , : , :
106	instantiation	121, 116, 113	⊢
	: , : , :
107	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
108	instantiation	121, 114, 115	⊢
	: , : , :
109	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
110	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
111	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
112	instantiation	121, 116, 117	⊢
	: , : , :
113	instantiation	121, 122, 118	⊢
	: , : , :
114	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
115	instantiation	121, 119, 120	⊢
	: , : , :
116	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
117	instantiation	121, 122, 123	⊢
	: , : , :
118	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
119	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
120	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
121	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
122	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
123	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements