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	30	⊢
2	instantiation	9, 5, 6	⊢
	: , : , :
3	instantiation	29	⊢
	:
4	instantiation	39, 7	⊢
	: , :
5	instantiation	41, 8	⊢
	: , : , :
6	instantiation	9, 10, 11	⊢
	: , : , :
7	instantiation	41, 12	⊢
	: , : , :
8	instantiation	41, 12	⊢
	: , : , :
9	axiom		⊢
	proveit.logic.equality.equals_transitivity
10	instantiation	13, 105, 14, 18, 15, 19, 25, 21, 57, 16	⊢
	: , : , : , : , : , :
11	instantiation	17, 18, 108, 19, 20, 25, 21, 57, 22	⊢
	: , : , : , : , : , : , : , :
12	instantiation	41, 23	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.addition.disassociation
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
15	instantiation	24	⊢
	: , : , :
16	instantiation	27, 25	⊢
	:
17	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
18	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
19	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
20	instantiation	26	⊢
	: , :
21	instantiation	27, 28	⊢
	:
22	instantiation	29	⊢
	:
23	instantiation	30, 31, 32, 33	⊢
	: , : , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
25	instantiation	106, 81, 34	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27	theorem		⊢
	proveit.numbers.negation.complex_closure
28	instantiation	35, 36, 37	⊢
	: , :
29	axiom		⊢
	proveit.logic.equality.equals_reflexivity
30	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
31	instantiation	41, 38	⊢
	: , : , :
32	instantiation	39, 40	⊢
	: , :
33	instantiation	41, 42	⊢
	: , : , :
34	instantiation	106, 93, 43	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
36	instantiation	44, 57, 45, 46	⊢
	: , :
37	instantiation	106, 81, 47	⊢
	: , : , :
38	instantiation	48, 49, 50	⊢
	: , :
39	theorem		⊢
	proveit.logic.equality.equals_reversal
40	instantiation	51, 71, 63, 62, 59	⊢
	: , : , :
41	axiom		⊢
	proveit.logic.equality.substitution
42	instantiation	52, 53, 54	⊢
	: , :
43	instantiation	106, 103, 55	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.division.div_complex_closure
45	instantiation	56, 71, 57	⊢
	: , :
46	instantiation	58, 59, 60	⊢
	: , : , :
47	instantiation	106, 93, 61	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.addition.commutation
49	instantiation	106, 81, 62	⊢
	: , : , :
50	instantiation	106, 81, 63	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
52	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
53	instantiation	106, 64, 65	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
55	instantiation	106, 66, 67	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
57	instantiation	106, 81, 68	⊢
	: , : , :
58	theorem		⊢
	proveit.logic.equality.sub_left_side_into
59	instantiation	69, 99	⊢
	:
60	instantiation	70, 71	⊢
	:
61	instantiation	106, 103, 72	⊢
	: , : , :
62	instantiation	73, 74, 96	⊢
	: , : , :
63	instantiation	106, 93, 75	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
65	instantiation	106, 76, 77	⊢
	: , : , :
66	instantiation	78, 97, 79	⊢
	: , :
67	assumption		⊢
68	instantiation	106, 93, 80	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
70	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
71	instantiation	106, 81, 82	⊢
	: , : , :
72	instantiation	83, 104, 84	⊢
	: , :
73	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
74	instantiation	85, 86	⊢
	: , :
75	instantiation	106, 103, 87	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
77	instantiation	106, 88, 89	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
79	instantiation	90, 91, 92	⊢
	: , :
80	instantiation	106, 103, 97	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
82	instantiation	106, 93, 94	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
84	instantiation	106, 95, 96	⊢
	: , : , :
85	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
86	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
87	instantiation	102, 97	⊢
	:
88	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
89	instantiation	106, 98, 99	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
91	instantiation	106, 100, 101	⊢
	: , : , :
92	instantiation	102, 104	⊢
	:
93	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
94	instantiation	106, 103, 104	⊢
	: , : , :
95	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
96	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
97	instantiation	106, 107, 105	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
99	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
100	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
101	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
102	theorem		⊢
	proveit.numbers.negation.int_closure
103	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
104	instantiation	106, 107, 108	⊢
	: , : , :
105	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
106	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
107	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
108	theorem		⊢
	proveit.numbers.numerals.decimals.nat2