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