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	⊢
	: , : , :
2	generalization	4	⊢
3	theorem		⊢
	proveit.numbers.summation.summation_complex_closure
4	instantiation	58, 5, 6	,  ⊢
	: , :
5	instantiation	8, 9, 7	⊢
	: , :
6	instantiation	8, 9, 10	,  ⊢
	: , :
7	instantiation	41, 11, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
9	instantiation	93, 65, 13	⊢
	: , : , :
10	instantiation	14, 15	,  ⊢
	:
11	instantiation	58, 44, 16	⊢
	: , :
12	instantiation	35, 17, 18	⊢
	: , : , :
13	instantiation	93, 69, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.negation.complex_closure
15	instantiation	20, 21, 22, 23	,  ⊢
	: , :
16	instantiation	41, 24, 25	⊢
	: , : , :
17	instantiation	50, 95, 45, 51, 26, 52, 44, 59, 40, 60	⊢
	: , : , : , : , : , :
18	instantiation	50, 51, 90, 45, 52, 46, 26, 55, 56, 59, 40, 60	⊢
	: , : , : , : , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
20	theorem		⊢
	proveit.numbers.division.div_complex_closure
21	instantiation	41, 27, 28	,  ⊢
	: , : , :
22	instantiation	93, 65, 29	⊢
	: , : , :
23	instantiation	30, 31	⊢
	:
24	instantiation	58, 32, 60	⊢
	: , :
25	instantiation	50, 51, 90, 95, 52, 33, 59, 40, 60	⊢
	: , : , : , : , : , :
26	instantiation	57	⊢
	: , : , :
27	instantiation	58, 44, 34	,  ⊢
	: , :
28	instantiation	35, 36, 37	,  ⊢
	: , : , :
29	instantiation	93, 71, 38	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
31	instantiation	39, 90, 87	⊢
	: , :
32	instantiation	58, 59, 40	⊢
	: , :
33	instantiation	61	⊢
	: , :
34	instantiation	41, 42, 43	,  ⊢
	: , : , :
35	axiom		⊢
	proveit.logic.equality.equals_transitivity
36	instantiation	50, 95, 45, 51, 47, 52, 44, 59, 60, 54	,  ⊢
	: , : , : , : , : , :
37	instantiation	50, 51, 90, 45, 52, 46, 47, 55, 56, 59, 60, 54	,  ⊢
	: , : , : , : , : , :
38	instantiation	93, 74, 83	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
40	instantiation	93, 65, 48	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.equality.sub_right_side_into
42	instantiation	58, 49, 54	,  ⊢
	: , :
43	instantiation	50, 51, 90, 95, 52, 53, 59, 60, 54	,  ⊢
	: , : , : , : , : , :
44	instantiation	58, 55, 56	⊢
	: , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
46	instantiation	61	⊢
	: , :
47	instantiation	57	⊢
	: , : , :
48	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
49	instantiation	58, 59, 60	⊢
	: , :
50	theorem		⊢
	proveit.numbers.multiplication.disassociation
51	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
52	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
53	instantiation	61	⊢
	: , :
54	instantiation	93, 65, 62	⊢
	: , : , :
55	instantiation	93, 65, 63	⊢
	: , : , :
56	instantiation	93, 65, 64	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
58	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
59	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
60	instantiation	93, 65, 66	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
62	instantiation	93, 71, 67	⊢
	: , : , :
63	instantiation	93, 71, 68	⊢
	: , : , :
64	instantiation	93, 69, 70	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
66	instantiation	93, 71, 72	⊢
	: , : , :
67	instantiation	93, 74, 73	⊢
	: , : , :
68	instantiation	93, 74, 86	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
70	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
71	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
72	instantiation	93, 74, 75	⊢
	: , : , :
73	instantiation	93, 77, 76	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
75	instantiation	93, 77, 78	⊢
	: , : , :
76	assumption		⊢
77	instantiation	79, 80, 81	⊢
	: , :
78	assumption		⊢
79	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
80	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
81	instantiation	82, 83, 84	⊢
	: , :
82	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
83	instantiation	85, 86, 87	⊢
	: , :
84	instantiation	88, 89	⊢
	:
85	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
86	instantiation	93, 94, 90	⊢
	: , : , :
87	instantiation	93, 91, 92	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.negation.int_closure
89	instantiation	93, 94, 95	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
91	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
92	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
93	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
94	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
95	theorem		⊢
	proveit.numbers.numerals.decimals.nat1