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	modus ponens	1, 2	⊢
1	instantiation	3, 4, 7	⊢
	: , : , : , : , : , :
2	generalization	5	⊢
3	theorem		⊢
	proveit.linear_algebra.addition.summation_closure
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
5	instantiation	6, 7, 8, 9	,  ⊢
	: , : , : , :
6	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
7	instantiation	10, 11	⊢
	:
8	instantiation	12, 13, 14	,  ⊢
	: , :
9	instantiation	15, 72, 58	,  ⊢
	: , :
10	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
11	instantiation	16, 70, 67	⊢
	: , :
12	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
13	instantiation	73, 48, 17	⊢
	: , : , :
14	instantiation	25, 18, 19	,  ⊢
	: , : , :
15	theorem		⊢
	proveit.physics.quantum.algebra.num_ket_in_register_space
16	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
17	instantiation	73, 53, 20	⊢
	: , : , :
18	instantiation	41, 28, 21	,  ⊢
	: , :
19	instantiation	22, 23, 24	,  ⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
21	instantiation	25, 26, 27	,  ⊢
	: , : , :
22	axiom		⊢
	proveit.logic.equality.equals_transitivity
23	instantiation	33, 75, 29, 34, 31, 35, 28, 42, 43, 37	,  ⊢
	: , : , : , : , : , :
24	instantiation	33, 34, 70, 29, 35, 30, 31, 38, 39, 42, 43, 37	,  ⊢
	: , : , : , : , : , :
25	theorem		⊢
	proveit.logic.equality.sub_right_side_into
26	instantiation	41, 32, 37	,  ⊢
	: , :
27	instantiation	33, 34, 70, 75, 35, 36, 42, 43, 37	,  ⊢
	: , : , : , : , : , :
28	instantiation	41, 38, 39	⊢
	: , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
30	instantiation	44	⊢
	: , :
31	instantiation	40	⊢
	: , : , :
32	instantiation	41, 42, 43	⊢
	: , :
33	theorem		⊢
	proveit.numbers.multiplication.disassociation
34	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
35	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
36	instantiation	44	⊢
	: , :
37	instantiation	73, 48, 45	,  ⊢
	: , : , :
38	instantiation	73, 48, 46	⊢
	: , : , :
39	instantiation	73, 48, 47	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
41	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
42	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
43	instantiation	73, 48, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
45	instantiation	73, 51, 50	,  ⊢
	: , : , :
46	instantiation	73, 51, 52	⊢
	: , : , :
47	instantiation	73, 53, 54	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
49	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
50	instantiation	73, 56, 55	,  ⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
52	instantiation	73, 56, 66	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
55	instantiation	73, 57, 58	,  ⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
57	instantiation	59, 60, 61	⊢
	: , :
58	assumption		⊢
59	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
60	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
61	instantiation	62, 63, 64	⊢
	: , :
62	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
63	instantiation	65, 66, 67	⊢
	: , :
64	instantiation	68, 69	⊢
	:
65	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
66	instantiation	73, 74, 70	⊢
	: , : , :
67	instantiation	73, 71, 72	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.negation.int_closure
69	instantiation	73, 74, 75	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
71	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
72	assumption		⊢
73	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
74	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
75	theorem		⊢
	proveit.numbers.numerals.decimals.nat1