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	⊢
	: , : , :
1	reference	55	⊢
2	instantiation	37, 3, 4	⊢
	: , : , :
3	instantiation	5, 78, 110, 58, 6, 59, 42, 7, 8, 9	⊢
	: , : , : , : , : , : , :
4	instantiation	55, 10	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
6	instantiation	69	⊢
	: , :
7	instantiation	111, 81, 11	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
9	instantiation	12, 13, 14	⊢
	: , :
10	instantiation	15, 16, 17, 18	⊢
	: , : , : , :
11	instantiation	111, 19, 20	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
13	instantiation	111, 81, 21	⊢
	: , : , :
14	instantiation	22, 23	⊢
	:
15	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
16	instantiation	55, 24	⊢
	: , : , :
17	instantiation	25	⊢
	:
18	instantiation	26, 27	⊢
	: , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
21	instantiation	28, 29	⊢
	:
22	theorem		⊢
	proveit.numbers.negation.complex_closure
23	instantiation	30, 61, 34, 35	⊢
	: , :
24	instantiation	55, 31	⊢
	: , : , :
25	axiom		⊢
	proveit.logic.equality.equals_reflexivity
26	theorem		⊢
	proveit.logic.equality.equals_reversal
27	instantiation	55, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
29	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
30	theorem		⊢
	proveit.numbers.division.div_complex_closure
31	instantiation	33, 61, 34, 35, 36*	⊢
	: , :
32	instantiation	37, 38, 39	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.division.div_as_mult
34	instantiation	111, 81, 40	⊢
	: , : , :
35	instantiation	52, 49	⊢
	:
36	instantiation	41, 42, 82, 43, 44, 45*	⊢
	: , : , :
37	axiom		⊢
	proveit.logic.equality.equals_transitivity
38	instantiation	55, 46	⊢
	: , : , :
39	instantiation	47, 58, 78, 59, 60, 67, 61, 62, 48*	⊢
	: , : , : , : , :
40	instantiation	87, 88, 49	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
42	instantiation	111, 81, 50	⊢
	: , : , :
43	instantiation	111, 79, 51	⊢
	: , : , :
44	instantiation	52, 105	⊢
	:
45	instantiation	53, 75, 67, 54*	⊢
	: , :
46	instantiation	55, 56	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.multiplication.mult_neg_any
48	instantiation	57, 58, 78, 59, 60, 61, 62	⊢
	: , : , : , :
49	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
50	instantiation	111, 79, 63	⊢
	: , : , :
51	instantiation	111, 86, 64	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
53	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
54	instantiation	65, 75	⊢
	:
55	axiom		⊢
	proveit.logic.equality.substitution
56	instantiation	66, 67, 75, 68*	⊢
	: , :
57	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
58	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
59	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
60	instantiation	69	⊢
	: , :
61	instantiation	111, 81, 70	⊢
	: , : , :
62	instantiation	111, 81, 71	⊢
	: , : , :
63	instantiation	111, 86, 72	⊢
	: , : , :
64	instantiation	107, 103	⊢
	:
65	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
66	theorem		⊢
	proveit.numbers.multiplication.mult_neg_left
67	instantiation	111, 81, 73	⊢
	: , : , :
68	instantiation	74, 75	⊢
	:
69	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
70	instantiation	111, 79, 76	⊢
	: , : , :
71	instantiation	111, 79, 77	⊢
	: , : , :
72	instantiation	111, 109, 78	⊢
	: , : , :
73	instantiation	111, 79, 80	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
75	instantiation	111, 81, 82	⊢
	: , : , :
76	instantiation	111, 86, 83	⊢
	: , : , :
77	instantiation	111, 84, 85	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
79	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
80	instantiation	111, 86, 103	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
82	instantiation	87, 88, 106	⊢
	: , : , :
83	instantiation	111, 89, 90	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
85	instantiation	91, 92, 93	⊢
	: , :
86	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
87	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
88	instantiation	94, 95	⊢
	: , :
89	instantiation	96, 97, 108	⊢
	: , :
90	assumption		⊢
91	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
92	instantiation	111, 98, 99	⊢
	: , : , :
93	instantiation	107, 100	⊢
	:
94	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
95	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
96	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
97	instantiation	101, 102, 103	⊢
	: , :
98	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
99	instantiation	111, 104, 105	⊢
	: , : , :
100	instantiation	111, 112, 106	⊢
	: , : , :
101	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
102	instantiation	107, 108	⊢
	:
103	instantiation	111, 109, 110	⊢
	: , : , :
104	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
105	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
106	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
107	theorem		⊢
	proveit.numbers.negation.int_closure
108	instantiation	111, 112, 113	⊢
	: , : , :
109	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
110	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
111	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
112	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
113	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements