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.equality.sub_left_side_into
2	instantiation	17, 18, 4, 5	⊢
	: , : , : , :
3	instantiation	44, 6	⊢
	: , : , :
4	instantiation	7, 55, 8, 9	⊢
	: , :
5	instantiation	10, 18, 11, 12	⊢
	: , : , : , :
6	instantiation	44, 13	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.division.div_complex_closure
8	instantiation	14, 77	⊢
	:
9	instantiation	15, 24, 16	⊢
	: , :
10	theorem		⊢
	proveit.linear_algebra.addition.binary_closure
11	theorem		⊢
	proveit.physics.quantum.algebra.ket_zero_in_qubit_space
12	instantiation	17, 18, 19, 20	⊢
	: , : , : , :
13	instantiation	44, 21	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.exponentiation.sqrt_complex_closure
15	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
16	instantiation	22, 23, 24	⊢
	: , :
17	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
18	instantiation	25, 38	⊢
	:
19	instantiation	76, 26, 27	⊢
	: , :
20	theorem		⊢
	proveit.physics.quantum.algebra.ket_one_in_qubit_space
21	instantiation	44, 28	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.division.div_rational_nonzero_closure
23	instantiation	108, 30, 29	⊢
	: , : , :
24	instantiation	108, 30, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
26	instantiation	108, 89, 32	⊢
	: , : , :
27	instantiation	46, 33, 34	⊢
	: , : , :
28	instantiation	44, 35	⊢
	: , : , :
29	instantiation	108, 37, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
31	instantiation	108, 37, 38	⊢
	: , : , :
32	instantiation	108, 83, 39	⊢
	: , : , :
33	instantiation	68, 49, 40	⊢
	: , :
34	instantiation	41, 42, 43	⊢
	: , : , :
35	instantiation	44, 45	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
40	instantiation	46, 47, 48	⊢
	: , : , :
41	axiom		⊢
	proveit.logic.equality.equals_transitivity
42	instantiation	58, 110, 50, 59, 52, 60, 49, 69, 70, 62	⊢
	: , : , : , : , : , :
43	instantiation	58, 59, 100, 50, 60, 51, 52, 77, 63, 69, 70, 62	⊢
	: , : , : , : , : , :
44	axiom		⊢
	proveit.logic.equality.substitution
45	instantiation	53, 54, 55, 56*	⊢
	: , :
46	theorem		⊢
	proveit.logic.equality.sub_right_side_into
47	instantiation	68, 57, 62	⊢
	: , :
48	instantiation	58, 59, 100, 110, 60, 61, 69, 70, 62	⊢
	: , : , : , : , : , :
49	instantiation	68, 77, 63	⊢
	: , :
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
51	instantiation	71	⊢
	: , :
52	instantiation	64	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
54	instantiation	108, 89, 65	⊢
	: , : , :
55	instantiation	108, 89, 81	⊢
	: , : , :
56	instantiation	66, 67	⊢
	:
57	instantiation	68, 69, 70	⊢
	: , :
58	theorem		⊢
	proveit.numbers.multiplication.disassociation
59	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
60	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
61	instantiation	71	⊢
	: , :
62	instantiation	108, 89, 72	⊢
	: , : , :
63	instantiation	108, 89, 73	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
65	instantiation	108, 95, 74	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.negation.double_negation
67	instantiation	108, 89, 75	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
69	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
70	instantiation	76, 77, 78	⊢
	: , :
71	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
72	instantiation	79, 80, 81, 82	⊢
	: , : , :
73	instantiation	108, 83, 84	⊢
	: , : , :
74	instantiation	108, 98, 85	⊢
	: , : , :
75	instantiation	86, 87, 105	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
77	instantiation	108, 89, 88	⊢
	: , : , :
78	instantiation	108, 89, 90	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
80	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
81	instantiation	108, 95, 91	⊢
	: , : , :
82	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
83	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
84	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
85	instantiation	106, 102	⊢
	:
86	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
87	instantiation	92, 93	⊢
	: , :
88	instantiation	108, 95, 94	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
90	instantiation	108, 95, 96	⊢
	: , : , :
91	instantiation	108, 98, 107	⊢
	: , : , :
92	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
93	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
94	instantiation	108, 98, 97	⊢
	: , : , :
95	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
96	instantiation	108, 98, 99	⊢
	: , : , :
97	instantiation	108, 109, 100	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
99	instantiation	101, 102, 103	⊢
	: , :
100	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
101	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
102	instantiation	108, 104, 105	⊢
	: , : , :
103	instantiation	106, 107	⊢
	:
104	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
105	assumption		⊢
106	theorem		⊢
	proveit.numbers.negation.int_closure
107	instantiation	108, 109, 110	⊢
	: , : , :
108	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
109	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
110	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements