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	28, 4	⊢
	: , : , :
3	instantiation	5, 6, 7	⊢
	: , : , :
4	instantiation	28, 8	⊢
	: , : , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	9, 77, 84, 10, 11, 12, 41, 14, 36	⊢
	: , : , : , : , : , :
7	instantiation	13, 41, 14, 15	⊢
	: , : , :
8	instantiation	16, 17, 18, 19	⊢
	: , : , : , :
9	theorem		⊢
	proveit.numbers.addition.disassociation
10	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
11	instantiation	20	⊢
	: , :
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
14	instantiation	21, 22, 23	⊢
	: , :
15	instantiation	24	⊢
	:
16	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
17	instantiation	28, 25	⊢
	: , : , :
18	instantiation	26, 27	⊢
	: , :
19	instantiation	28, 29	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
21	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
22	instantiation	30, 41, 31, 32	⊢
	: , :
23	instantiation	82, 62, 33	⊢
	: , : , :
24	axiom		⊢
	proveit.logic.equality.equals_reflexivity
25	instantiation	34, 35, 36	⊢
	: , :
26	theorem		⊢
	proveit.logic.equality.equals_reversal
27	instantiation	37, 53, 47, 46, 43	⊢
	: , : , :
28	axiom		⊢
	proveit.logic.equality.substitution
29	instantiation	38, 39, 81	⊢
	: , :
30	theorem		⊢
	proveit.numbers.division.div_complex_closure
31	instantiation	40, 53, 41	⊢
	: , :
32	instantiation	42, 43, 44	⊢
	: , : , :
33	instantiation	54, 55, 45	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.addition.commutation
35	instantiation	82, 62, 46	⊢
	: , : , :
36	instantiation	82, 62, 47	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
38	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
39	instantiation	82, 48, 49	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
41	instantiation	82, 62, 50	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.equality.sub_left_side_into
43	instantiation	51, 76	⊢
	:
44	instantiation	52, 53	⊢
	:
45	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
46	instantiation	54, 55, 56	⊢
	: , : , :
47	instantiation	82, 57, 58	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
49	instantiation	82, 59, 60	⊢
	: , : , :
50	instantiation	82, 71, 61	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
52	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
53	instantiation	82, 62, 63	⊢
	: , : , :
54	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
55	instantiation	64, 65	⊢
	: , :
56	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
58	instantiation	82, 66, 67	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
60	instantiation	82, 68, 69	⊢
	: , : , :
61	instantiation	82, 78, 70	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
63	instantiation	82, 71, 72	⊢
	: , : , :
64	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
65	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
67	instantiation	82, 73, 74	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
69	instantiation	82, 75, 76	⊢
	: , : , :
70	instantiation	82, 83, 77	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
72	instantiation	82, 78, 79	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
74	instantiation	80, 81	⊢
	:
75	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
76	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
77	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
78	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
79	instantiation	82, 83, 84	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.negation.int_neg_closure
81	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
82	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
83	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
84	theorem		⊢
	proveit.numbers.numerals.decimals.nat2