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, 4	⊢
	: , : , : , :
1	reference	20	⊢
2	instantiation	9, 5, 6	⊢
	: , : , :
3	instantiation	7	⊢
	:
4	instantiation	29, 8	⊢
	: , :
5	instantiation	31, 8	⊢
	: , : , :
6	instantiation	9, 10, 11	⊢
	: , : , :
7	axiom		⊢
	proveit.logic.equality.equals_reflexivity
8	instantiation	31, 12	⊢
	: , : , :
9	axiom		⊢
	proveit.logic.equality.equals_transitivity
10	instantiation	13, 80, 87, 16, 18, 17, 14, 19, 39	⊢
	: , : , : , : , : , :
11	instantiation	15, 16, 87, 17, 18, 19, 39	⊢
	: , : , : , :
12	instantiation	20, 21, 22, 23	⊢
	: , : , : , :
13	theorem		⊢
	proveit.numbers.addition.disassociation
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
15	theorem		⊢
	proveit.numbers.addition.elim_zero_any
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18	instantiation	24	⊢
	: , :
19	instantiation	25, 26, 27	⊢
	: , :
20	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
21	instantiation	31, 28	⊢
	: , : , :
22	instantiation	29, 30	⊢
	: , :
23	instantiation	31, 32	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
26	instantiation	33, 44, 34, 35	⊢
	: , :
27	instantiation	85, 65, 36	⊢
	: , : , :
28	instantiation	37, 38, 39	⊢
	: , :
29	theorem		⊢
	proveit.logic.equality.equals_reversal
30	instantiation	40, 56, 50, 49, 46	⊢
	: , : , :
31	axiom		⊢
	proveit.logic.equality.substitution
32	instantiation	41, 42, 84	⊢
	: , :
33	theorem		⊢
	proveit.numbers.division.div_complex_closure
34	instantiation	43, 56, 44	⊢
	: , :
35	instantiation	45, 46, 47	⊢
	: , : , :
36	instantiation	57, 58, 48	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.addition.commutation
38	instantiation	85, 65, 49	⊢
	: , : , :
39	instantiation	85, 65, 50	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
41	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
42	instantiation	85, 51, 52	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
44	instantiation	85, 65, 53	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.equality.sub_left_side_into
46	instantiation	54, 79	⊢
	:
47	instantiation	55, 56	⊢
	:
48	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
49	instantiation	57, 58, 59	⊢
	: , : , :
50	instantiation	85, 60, 61	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
52	instantiation	85, 62, 63	⊢
	: , : , :
53	instantiation	85, 74, 64	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
55	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
56	instantiation	85, 65, 66	⊢
	: , : , :
57	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
58	instantiation	67, 68	⊢
	: , :
59	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
61	instantiation	85, 69, 70	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
63	instantiation	85, 71, 72	⊢
	: , : , :
64	instantiation	85, 81, 73	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
66	instantiation	85, 74, 75	⊢
	: , : , :
67	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
70	instantiation	85, 76, 77	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
72	instantiation	85, 78, 79	⊢
	: , : , :
73	instantiation	85, 86, 80	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
75	instantiation	85, 81, 82	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
77	instantiation	83, 84	⊢
	:
78	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
79	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
80	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
81	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
82	instantiation	85, 86, 87	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.negation.int_neg_closure
84	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
85	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
86	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
87	theorem		⊢
	proveit.numbers.numerals.decimals.nat2