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	instantiation	117, 106, 8	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
4	reference	85	⊢
5	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
6	instantiation	40, 9, 10, 11	⊢
	: , : , : , :
7	instantiation	40, 12, 13, 14	⊢
	: , : , : , :
8	instantiation	117, 113, 15	⊢
	: , : , :
9	instantiation	24, 16, 17	⊢
	: , : , :
10	instantiation	48	⊢
	:
11	instantiation	53, 23	⊢
	: , :
12	instantiation	24, 18, 19	⊢
	: , : , :
13	instantiation	48	⊢
	:
14	instantiation	53, 30	⊢
	: , :
15	instantiation	61, 20, 63	⊢
	: , :
16	instantiation	55, 23	⊢
	: , : , :
17	instantiation	24, 21, 22	⊢
	: , : , :
18	instantiation	55, 23	⊢
	: , : , :
19	instantiation	24, 25, 26	⊢
	: , : , :
20	instantiation	117, 78, 27	⊢
	: , : , :
21	instantiation	31, 112, 119, 32, 33, 34, 28, 36, 68	⊢
	: , : , : , : , : , :
22	instantiation	29, 32, 119, 34, 33, 36, 68	⊢
	: , : , : , :
23	instantiation	55, 30	⊢
	: , : , :
24	axiom		⊢
	proveit.logic.equality.equals_transitivity
25	instantiation	31, 112, 119, 32, 33, 34, 73, 36, 68	⊢
	: , : , : , : , : , :
26	instantiation	35, 73, 36, 37	⊢
	: , : , :
27	instantiation	38, 119, 39	⊢
	: , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
29	theorem		⊢
	proveit.numbers.addition.elim_zero_any
30	instantiation	40, 41, 42, 43	⊢
	: , : , : , :
31	theorem		⊢
	proveit.numbers.addition.disassociation
32	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
33	instantiation	44	⊢
	: , :
34	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
35	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
36	instantiation	45, 46, 47	⊢
	: , :
37	instantiation	48	⊢
	:
38	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
39	instantiation	49, 50, 51	⊢
	:
40	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
41	instantiation	55, 52	⊢
	: , : , :
42	instantiation	53, 54	⊢
	: , :
43	instantiation	55, 56	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
45	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
46	instantiation	57, 73, 58, 59	⊢
	: , :
47	instantiation	117, 97, 60	⊢
	: , : , :
48	axiom		⊢
	proveit.logic.equality.equals_reflexivity
49	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
50	instantiation	61, 62, 63	⊢
	: , :
51	instantiation	64, 65	⊢
	: , :
52	instantiation	66, 67, 68	⊢
	: , :
53	theorem		⊢
	proveit.logic.equality.equals_reversal
54	instantiation	69, 88, 82, 81, 75	⊢
	: , : , :
55	axiom		⊢
	proveit.logic.equality.substitution
56	instantiation	70, 71, 116	⊢
	: , :
57	theorem		⊢
	proveit.numbers.division.div_complex_closure
58	instantiation	72, 88, 73	⊢
	: , :
59	instantiation	74, 75, 76	⊢
	: , : , :
60	instantiation	89, 90, 77	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
62	instantiation	117, 78, 91	⊢
	: , : , :
63	instantiation	117, 79, 109	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
65	instantiation	80, 91	⊢
	:
66	theorem		⊢
	proveit.numbers.addition.commutation
67	instantiation	117, 97, 81	⊢
	: , : , :
68	instantiation	117, 97, 82	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
70	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
71	instantiation	117, 83, 84	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
73	instantiation	117, 97, 85	⊢
	: , : , :
74	theorem		⊢
	proveit.logic.equality.sub_left_side_into
75	instantiation	86, 111	⊢
	:
76	instantiation	87, 88	⊢
	:
77	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
78	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
79	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
80	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
81	instantiation	89, 90, 91	⊢
	: , : , :
82	instantiation	117, 92, 93	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
84	instantiation	117, 94, 95	⊢
	: , : , :
85	instantiation	117, 106, 96	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
87	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
88	instantiation	117, 97, 98	⊢
	: , : , :
89	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
90	instantiation	99, 100	⊢
	: , :
91	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
92	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
93	instantiation	117, 101, 102	⊢
	: , : , :
94	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
95	instantiation	117, 103, 104	⊢
	: , : , :
96	instantiation	117, 113, 105	⊢
	: , : , :
97	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
98	instantiation	117, 106, 107	⊢
	: , : , :
99	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
100	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
101	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
102	instantiation	117, 108, 109	⊢
	: , : , :
103	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
104	instantiation	117, 110, 111	⊢
	: , : , :
105	instantiation	117, 118, 112	⊢
	: , : , :
106	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
107	instantiation	117, 113, 114	⊢
	: , : , :
108	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
109	instantiation	115, 116	⊢
	:
110	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
111	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
112	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
113	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
114	instantiation	117, 118, 119	⊢
	: , : , :
115	theorem		⊢
	proveit.numbers.negation.int_neg_closure
116	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
117	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
118	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
119	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements