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, 5*	⊢
	: , :
1	theorem		⊢
	proveit.numbers.division.div_as_mult
2	reference	50	⊢
3	instantiation	6, 46, 40	⊢
	: , :
4	instantiation	7, 94, 8, 35, 9	⊢
	: , :
5	instantiation	15, 10, 11	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
7	theorem		⊢
	proveit.numbers.multiplication.mult_not_eq_zero
8	instantiation	37	⊢
	: , :
9	instantiation	92, 43, 12	⊢
	: , : , :
10	instantiation	13, 14	⊢
	: , : , :
11	instantiation	15, 16, 17	⊢
	: , : , :
12	instantiation	92, 53, 18	⊢
	: , : , :
13	axiom		⊢
	proveit.logic.equality.substitution
14	instantiation	19, 46, 40, 20, 21, 22, 23*	⊢
	: , : , :
15	axiom		⊢
	proveit.logic.equality.equals_transitivity
16	instantiation	24, 84, 94, 26, 28, 27, 50, 29, 30	⊢
	: , : , : , : , : , :
17	instantiation	25, 26, 94, 27, 28, 29, 30	⊢
	: , : , : , :
18	instantiation	92, 64, 31	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_product
20	instantiation	32, 60	⊢
	:
21	instantiation	33, 77	⊢
	:
22	instantiation	33, 42	⊢
	:
23	instantiation	34, 35, 75, 36*	⊢
	: , :
24	theorem		⊢
	proveit.numbers.multiplication.disassociation
25	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
26	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
27	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28	instantiation	37	⊢
	: , :
29	instantiation	92, 59, 38	⊢
	: , : , :
30	instantiation	39, 40, 41	⊢
	: , :
31	instantiation	92, 74, 42	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.negation.real_closure
33	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
34	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
35	instantiation	92, 43, 44	⊢
	: , : , :
36	instantiation	45, 46	⊢
	:
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
38	instantiation	92, 71, 47	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
40	instantiation	92, 59, 48	⊢
	: , : , :
41	instantiation	49, 50	⊢
	:
42	instantiation	51, 70, 52	⊢
	:
43	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
44	instantiation	92, 53, 54	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
46	instantiation	92, 59, 55	⊢
	: , : , :
47	instantiation	92, 56, 57	⊢
	: , : , :
48	instantiation	92, 71, 58	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.negation.complex_closure
50	instantiation	92, 59, 60	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
52	instantiation	61, 62, 63	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
54	instantiation	92, 64, 65	⊢
	: , : , :
55	instantiation	92, 71, 66	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
57	instantiation	67, 68, 69	⊢
	: , :
58	instantiation	92, 80, 70	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
60	instantiation	92, 71, 72	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
62	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
63	instantiation	73, 82, 83, 79	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
65	instantiation	92, 74, 77	⊢
	: , : , :
66	instantiation	92, 80, 91	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
68	instantiation	92, 76, 75	⊢
	: , : , :
69	instantiation	92, 76, 77	⊢
	: , : , :
70	instantiation	92, 78, 79	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
72	instantiation	92, 80, 82	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
74	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
75	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
76	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
77	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
78	instantiation	81, 82, 83	⊢
	: , :
79	assumption		⊢
80	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
81	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
82	instantiation	92, 93, 84	⊢
	: , : , :
83	instantiation	85, 86, 87	⊢
	: , :
84	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
85	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
86	instantiation	92, 88, 89	⊢
	: , : , :
87	instantiation	90, 91	⊢
	:
88	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
89	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
90	theorem		⊢
	proveit.numbers.negation.int_closure
91	instantiation	92, 93, 94	⊢
	: , : , :
92	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
93	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
94	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements