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	⊢
	: , : , :
1	reference	11	⊢
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	6, 7, 8, 9, 10*	⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	11, 12, 13	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.division.frac_cancel_left
7	instantiation	69, 15, 14	⊢
	: , : , :
8	instantiation	69, 15, 16	⊢
	: , : , :
9	instantiation	17, 18, 19	⊢
	: , : , :
10	instantiation	20, 25	⊢
	:
11	axiom		⊢
	proveit.logic.equality.equals_transitivity
12	instantiation	21, 31, 68, 32, 33, 34, 35, 36, 25, 37	⊢
	: , : , : , : , : , : , :
13	instantiation	22, 32, 23, 31, 24, 33, 25, 35, 36, 37	⊢
	: , : , : , : , : , :
14	instantiation	69, 26, 45	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
16	instantiation	69, 27, 28	⊢
	: , : , :
17	theorem		⊢
	proveit.logic.equality.sub_right_side_into
18	instantiation	69, 70, 29	⊢
	: , : , :
19	instantiation	30, 31, 68, 32, 33, 34, 35, 36, 37	⊢
	: , : , : , : , : , :
20	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
21	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
22	theorem		⊢
	proveit.numbers.multiplication.association
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
24	instantiation	38	⊢
	: , : , :
25	instantiation	69, 70, 39	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
28	instantiation	69, 40, 41	⊢
	: , : , :
29	instantiation	48, 42, 44	⊢
	: , :
30	theorem		⊢
	proveit.numbers.multiplication.disassociation
31	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
33	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
34	instantiation	43	⊢
	: , :
35	instantiation	69, 70, 49	⊢
	: , : , :
36	instantiation	69, 70, 50	⊢
	: , : , :
37	instantiation	69, 70, 44	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
39	instantiation	69, 51, 45	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
41	instantiation	69, 46, 47	⊢
	: , : , :
42	instantiation	48, 49, 50	⊢
	: , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
44	instantiation	69, 51, 52	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
48	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
49	instantiation	69, 53, 54	⊢
	: , : , :
50	instantiation	55, 56, 57	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
52	instantiation	58, 59	⊢
	:
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
54	instantiation	69, 60, 61	⊢
	: , : , :
55	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
56	instantiation	62, 63	⊢
	: , :
57	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
58	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
59	instantiation	64, 65, 66	⊢
	:
60	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
61	instantiation	69, 67, 68	⊢
	: , : , :
62	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
64	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
65	instantiation	69, 70, 71	⊢
	: , : , :
66	assumption		⊢
67	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
68	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
69	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
70	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
71	instantiation	72, 73	⊢
	:
72	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
73	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
*equality replacement requirements