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