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*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.multiplication.left_mult_eq_real
2	reference	88	⊢
3	reference	56	⊢
4	reference	67	⊢
5	instantiation	7, 8	⊢
	: , :
6	instantiation	33, 9, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.logic.equality.equals_reversal
8	instantiation	11, 77, 21, 12, 22, 13*, 14*	⊢
	: , : , :
9	instantiation	33, 15, 16	⊢
	: , : , :
10	instantiation	17, 18, 19, 20	⊢
	: , : , : , :
11	theorem		⊢
	proveit.numbers.addition.right_add_eq_rational
12	instantiation	33, 21, 22	⊢
	: , : , :
13	instantiation	23, 55	⊢
	:
14	instantiation	61, 24, 25	⊢
	: , : , :
15	instantiation	26, 50, 51, 27, 28	⊢
	: , : , : , : , :
16	instantiation	61, 29, 30	⊢
	: , : , :
17	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
18	instantiation	71, 31	⊢
	: , : , :
19	instantiation	71, 32	⊢
	: , : , :
20	instantiation	80, 51	⊢
	:
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.zero_is_rational
22	instantiation	33, 34, 35	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.elim_zero_left
24	instantiation	36, 37, 38, 90, 39, 40, 43, 41, 55	⊢
	: , : , : , : , : , :
25	instantiation	42, 55, 43, 44	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_numer_left
27	instantiation	97, 46, 45	⊢
	: , : , :
28	instantiation	97, 46, 47	⊢
	: , : , :
29	instantiation	71, 48	⊢
	: , : , :
30	instantiation	71, 49	⊢
	: , : , :
31	instantiation	73, 50	⊢
	:
32	instantiation	73, 51	⊢
	:
33	theorem		⊢
	proveit.logic.equality.sub_right_side_into
34	instantiation	52, 91	⊢
	:
35	assumption		⊢
36	theorem		⊢
	proveit.numbers.addition.disassociation
37	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
39	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
40	instantiation	53	⊢
	: , :
41	instantiation	54, 55	⊢
	:
42	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
43	instantiation	97, 87, 56	⊢
	: , : , :
44	instantiation	57	⊢
	:
45	instantiation	97, 59, 58	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
47	instantiation	97, 59, 60	⊢
	: , : , :
48	instantiation	61, 62, 63	⊢
	: , : , :
49	instantiation	71, 64	⊢
	: , : , :
50	instantiation	97, 87, 65	⊢
	: , : , :
51	instantiation	97, 87, 66	⊢
	: , : , :
52	axiom		⊢
	proveit.physics.quantum.QPE._delta_b_def
53	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
54	theorem		⊢
	proveit.numbers.negation.complex_closure
55	instantiation	97, 87, 67	⊢
	: , : , :
56	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
57	axiom		⊢
	proveit.logic.equality.equals_reflexivity
58	instantiation	97, 69, 68	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
60	instantiation	97, 69, 70	⊢
	: , : , :
61	axiom		⊢
	proveit.logic.equality.equals_transitivity
62	instantiation	71, 72	⊢
	: , : , :
63	instantiation	73, 81	⊢
	:
64	instantiation	74, 81	⊢
	:
65	instantiation	97, 76, 75	⊢
	: , : , :
66	instantiation	97, 76, 84	⊢
	: , : , :
67	instantiation	97, 76, 77	⊢
	: , : , :
68	instantiation	97, 78, 99	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
70	instantiation	97, 78, 79	⊢
	: , : , :
71	axiom		⊢
	proveit.logic.equality.substitution
72	instantiation	80, 81	⊢
	:
73	theorem		⊢
	proveit.numbers.division.frac_one_denom
74	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
75	instantiation	97, 92, 82	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
77	instantiation	83, 84, 85, 86	⊢
	: , :
78	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
79	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
80	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
81	instantiation	97, 87, 88	⊢
	: , : , :
82	instantiation	97, 89, 90	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.division.div_rational_closure
84	instantiation	97, 92, 91	⊢
	: , : , :
85	instantiation	97, 92, 93	⊢
	: , : , :
86	instantiation	94, 99	⊢
	:
87	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
88	instantiation	95, 96, 99	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
90	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
91	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
92	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
93	instantiation	97, 98, 99	⊢
	: , : , :
94	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
95	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
96	instantiation	100, 101	⊢
	: , :
97	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
98	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
99	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
100	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
101	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements