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	5	⊢
2	instantiation	37, 4	⊢
	: , : , :
3	instantiation	5, 6, 7	⊢
	: , : , :
4	instantiation	37, 8	⊢
	: , : , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	9, 101, 10, 14, 11, 15, 21, 17, 53, 12	⊢
	: , : , : , : , : , :
7	instantiation	13, 14, 104, 15, 16, 21, 17, 53, 18	⊢
	: , : , : , : , : , : , : , :
8	instantiation	37, 19	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.addition.disassociation
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
11	instantiation	20	⊢
	: , : , :
12	instantiation	23, 21	⊢
	:
13	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
14	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	instantiation	22	⊢
	: , :
17	instantiation	23, 24	⊢
	:
18	instantiation	25	⊢
	:
19	instantiation	26, 27, 28, 29	⊢
	: , : , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
21	instantiation	102, 77, 30	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23	theorem		⊢
	proveit.numbers.negation.complex_closure
24	instantiation	31, 32, 33	⊢
	: , :
25	axiom		⊢
	proveit.logic.equality.equals_reflexivity
26	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
27	instantiation	37, 34	⊢
	: , : , :
28	instantiation	35, 36	⊢
	: , :
29	instantiation	37, 38	⊢
	: , : , :
30	instantiation	102, 89, 39	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
32	instantiation	40, 53, 41, 42	⊢
	: , :
33	instantiation	102, 77, 43	⊢
	: , : , :
34	instantiation	44, 45, 46	⊢
	: , :
35	theorem		⊢
	proveit.logic.equality.equals_reversal
36	instantiation	47, 67, 59, 58, 55	⊢
	: , : , :
37	axiom		⊢
	proveit.logic.equality.substitution
38	instantiation	48, 49, 50	⊢
	: , :
39	instantiation	102, 99, 51	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.division.div_complex_closure
41	instantiation	52, 67, 53	⊢
	: , :
42	instantiation	54, 55, 56	⊢
	: , : , :
43	instantiation	102, 89, 57	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.addition.commutation
45	instantiation	102, 77, 58	⊢
	: , : , :
46	instantiation	102, 77, 59	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
48	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
49	instantiation	102, 60, 61	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
51	instantiation	102, 62, 63	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
53	instantiation	102, 77, 64	⊢
	: , : , :
54	theorem		⊢
	proveit.logic.equality.sub_left_side_into
55	instantiation	65, 95	⊢
	:
56	instantiation	66, 67	⊢
	:
57	instantiation	102, 99, 68	⊢
	: , : , :
58	instantiation	69, 70, 92	⊢
	: , : , :
59	instantiation	102, 89, 71	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
61	instantiation	102, 72, 73	⊢
	: , : , :
62	instantiation	74, 93, 75	⊢
	: , :
63	assumption		⊢
64	instantiation	102, 89, 76	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
66	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
67	instantiation	102, 77, 78	⊢
	: , : , :
68	instantiation	79, 100, 80	⊢
	: , :
69	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
70	instantiation	81, 82	⊢
	: , :
71	instantiation	102, 99, 83	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
73	instantiation	102, 84, 85	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
75	instantiation	86, 87, 88	⊢
	: , :
76	instantiation	102, 99, 93	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
78	instantiation	102, 89, 90	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
80	instantiation	102, 91, 92	⊢
	: , : , :
81	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
82	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
83	instantiation	98, 93	⊢
	:
84	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
85	instantiation	102, 94, 95	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
87	instantiation	102, 96, 97	⊢
	: , : , :
88	instantiation	98, 100	⊢
	:
89	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
90	instantiation	102, 99, 100	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
92	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
93	instantiation	102, 103, 101	⊢
	: , : , :
94	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
95	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
96	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
97	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
98	theorem		⊢
	proveit.numbers.negation.int_closure
99	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
100	instantiation	102, 103, 104	⊢
	: , : , :
101	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
102	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
103	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
104	theorem		⊢
	proveit.numbers.numerals.decimals.nat2