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	31, 4	⊢
	: , : , :
3	instantiation	5, 6, 7	⊢
	: , : , :
4	instantiation	31, 8	⊢
	: , : , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	9, 12, 87, 84, 14, 10, 15, 38, 54	⊢
	: , : , : , : , : , :
7	instantiation	11, 84, 87, 12, 13, 14, 15, 38, 54, 16*	⊢
	: , : , : , : , : , :
8	instantiation	17, 18, 19, 20	⊢
	: , : , : , :
9	theorem		⊢
	proveit.numbers.addition.disassociation
10	instantiation	21	⊢
	: , :
11	theorem		⊢
	proveit.numbers.addition.association
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	instantiation	21	⊢
	: , :
14	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15	instantiation	22, 23, 24	⊢
	: , :
16	instantiation	25, 26, 27	⊢
	: , : , :
17	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
18	instantiation	31, 28	⊢
	: , : , :
19	instantiation	29, 30	⊢
	: , :
20	instantiation	31, 32	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
22	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
23	instantiation	33, 54, 34, 35	⊢
	: , :
24	instantiation	47, 60, 40	⊢
	: , :
25	theorem		⊢
	proveit.logic.equality.sub_right_side_into
26	instantiation	36, 54, 60, 37	⊢
	: , : , :
27	instantiation	39, 54, 38	⊢
	: , :
28	instantiation	39, 40, 41	⊢
	: , :
29	theorem		⊢
	proveit.logic.equality.equals_reversal
30	instantiation	42, 60, 43, 52, 49	⊢
	: , : , :
31	axiom		⊢
	proveit.logic.equality.substitution
32	instantiation	44, 45, 46	⊢
	: , :
33	theorem		⊢
	proveit.numbers.division.div_complex_closure
34	instantiation	47, 60, 54	⊢
	: , :
35	instantiation	48, 49, 50	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
37	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
38	instantiation	85, 68, 51	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.addition.commutation
40	instantiation	85, 68, 52	⊢
	: , : , :
41	instantiation	53, 54	⊢
	:
42	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
43	instantiation	55, 65	⊢
	:
44	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
45	instantiation	85, 56, 57	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
47	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
48	theorem		⊢
	proveit.logic.equality.sub_left_side_into
49	instantiation	58, 81	⊢
	:
50	instantiation	59, 60	⊢
	:
51	instantiation	85, 76, 61	⊢
	: , : , :
52	instantiation	62, 63, 64	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.negation.complex_closure
54	instantiation	85, 68, 65	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.negation.real_closure
56	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
57	instantiation	85, 66, 67	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
59	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
60	instantiation	85, 68, 69	⊢
	: , : , :
61	instantiation	85, 82, 70	⊢
	: , : , :
62	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
63	instantiation	71, 72	⊢
	: , :
64	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
65	instantiation	85, 76, 73	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
67	instantiation	85, 74, 75	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
69	instantiation	85, 76, 77	⊢
	: , : , :
70	instantiation	78, 83	⊢
	:
71	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
72	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
73	instantiation	85, 82, 79	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
75	instantiation	85, 80, 81	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
77	instantiation	85, 82, 83	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.negation.int_closure
79	instantiation	85, 86, 84	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
81	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
82	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
83	instantiation	85, 86, 87	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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
*equality replacement requirements