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