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