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