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, 93, 90, 14, 10, 15, 39, 48	⊢
	: , : , : , : , : , :
7	instantiation	11, 90, 93, 12, 13, 14, 15, 39, 48, 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, 48, 34, 35	⊢
	: , :
24	instantiation	91, 70, 36	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.equality.sub_right_side_into
26	instantiation	37, 48, 61, 38	⊢
	: , : , :
27	instantiation	40, 48, 39	⊢
	: , :
28	instantiation	40, 41, 42	⊢
	: , :
29	theorem		⊢
	proveit.logic.equality.equals_reversal
30	instantiation	43, 61, 55, 54, 50	⊢
	: , : , :
31	axiom		⊢
	proveit.logic.equality.substitution
32	instantiation	44, 45, 46	⊢
	: , :
33	theorem		⊢
	proveit.numbers.division.div_complex_closure
34	instantiation	47, 61, 48	⊢
	: , :
35	instantiation	49, 50, 51	⊢
	: , : , :
36	instantiation	91, 80, 52	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
38	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
39	instantiation	91, 70, 53	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.addition.commutation
41	instantiation	91, 70, 54	⊢
	: , : , :
42	instantiation	91, 70, 55	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
44	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
45	instantiation	91, 56, 57	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
47	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
48	instantiation	91, 70, 58	⊢
	: , : , :
49	theorem		⊢
	proveit.logic.equality.sub_left_side_into
50	instantiation	59, 87	⊢
	:
51	instantiation	60, 61	⊢
	:
52	instantiation	91, 88, 62	⊢
	: , : , :
53	instantiation	91, 80, 63	⊢
	: , : , :
54	instantiation	64, 65, 83	⊢
	: , : , :
55	instantiation	91, 80, 66	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
57	instantiation	91, 67, 68	⊢
	: , : , :
58	instantiation	91, 80, 69	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
60	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
61	instantiation	91, 70, 71	⊢
	: , : , :
62	instantiation	72, 89, 73	⊢
	: , :
63	instantiation	91, 88, 74	⊢
	: , : , :
64	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
65	instantiation	75, 76	⊢
	: , :
66	instantiation	91, 88, 77	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
68	instantiation	91, 78, 79	⊢
	: , : , :
69	instantiation	91, 88, 85	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
71	instantiation	91, 80, 81	⊢
	: , : , :
72	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
73	instantiation	91, 82, 83	⊢
	: , : , :
74	instantiation	84, 89	⊢
	:
75	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
77	instantiation	84, 85	⊢
	:
78	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
79	instantiation	91, 86, 87	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
81	instantiation	91, 88, 89	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
83	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
84	theorem		⊢
	proveit.numbers.negation.int_closure
85	instantiation	91, 92, 90	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
87	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
88	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
89	instantiation	91, 92, 93	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
91	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
92	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
93	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements