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, 6, 7, 8*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.division.distribute_frac_through_sum
2	reference	80	⊢
3	instantiation	68	⊢
	: , :
4	instantiation	92, 70, 9	⊢
	: , : , :
5	reference	40	⊢
6	reference	15	⊢
7	reference	16	⊢
8	instantiation	10, 14, 15, 16, 11*	⊢
	: , :
9	instantiation	92, 85, 12	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.division.neg_frac_neg_numerator
11	instantiation	13, 14, 15, 16, 17*	⊢
	: , :
12	instantiation	92, 90, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.division.div_as_mult
14	instantiation	92, 70, 19	⊢
	: , : , :
15	instantiation	92, 70, 20	⊢
	: , : , :
16	instantiation	38, 25	⊢
	:
17	instantiation	49, 21, 22	⊢
	: , : , :
18	instantiation	23, 24	⊢
	:
19	instantiation	82, 83, 31	⊢
	: , : , :
20	instantiation	82, 83, 25	⊢
	: , : , :
21	instantiation	42, 26	⊢
	: , : , :
22	instantiation	27, 55, 28, 69, 33, 29*	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.negation.int_closure
24	instantiation	92, 30, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
26	instantiation	32, 55, 76, 71, 33, 34*	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
28	instantiation	35, 76, 71	⊢
	: , :
29	instantiation	49, 36, 37	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
31	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
32	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
33	instantiation	38, 80	⊢
	:
34	instantiation	39, 62, 40, 41*	⊢
	: , :
35	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
36	instantiation	42, 43	⊢
	: , : , :
37	instantiation	44, 45, 46, 47*	⊢
	: , :
38	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
39	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
40	instantiation	92, 70, 78	⊢
	: , : , :
41	instantiation	48, 62	⊢
	:
42	axiom		⊢
	proveit.logic.equality.substitution
43	instantiation	49, 50, 51	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
45	instantiation	92, 52, 53	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
47	instantiation	54, 55	⊢
	:
48	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
49	axiom		⊢
	proveit.logic.equality.equals_transitivity
50	instantiation	56, 57, 87, 94, 58, 59, 62, 63, 60	⊢
	: , : , : , : , : , :
51	instantiation	61, 62, 63, 64	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
53	instantiation	92, 65, 66	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
55	instantiation	92, 70, 67	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.addition.disassociation
57	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
58	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
59	instantiation	68	⊢
	: , :
60	instantiation	92, 70, 69	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
62	instantiation	92, 70, 76	⊢
	: , : , :
63	instantiation	92, 70, 71	⊢
	: , : , :
64	instantiation	72	⊢
	:
65	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
66	instantiation	92, 73, 74	⊢
	: , : , :
67	instantiation	92, 85, 75	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
69	instantiation	77, 76	⊢
	:
70	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
71	instantiation	77, 78	⊢
	:
72	axiom		⊢
	proveit.logic.equality.equals_reflexivity
73	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
74	instantiation	92, 79, 80	⊢
	: , : , :
75	instantiation	92, 90, 81	⊢
	: , : , :
76	instantiation	82, 83, 84	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.negation.real_closure
78	instantiation	92, 85, 86	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
80	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
81	instantiation	92, 93, 87	⊢
	: , : , :
82	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
83	instantiation	88, 89	⊢
	: , :
84	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
85	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
86	instantiation	92, 90, 91	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
88	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
89	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
90	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
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.nat1
*equality replacement requirements