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.multiplication.distribute_through_subtract
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	80	⊢
4	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
5	instantiation	81, 63, 9	⊢
	: , : , :
6	instantiation	10, 36, 60, 11	⊢
	: , :
7	reference	60	⊢
8	instantiation	17, 12, 13	⊢
	: , : , :
9	instantiation	14, 15	⊢
	:
10	theorem		⊢
	proveit.numbers.division.div_complex_closure
11	instantiation	16, 69	⊢
	:
12	instantiation	17, 18, 19	⊢
	: , : , :
13	instantiation	20, 21, 22, 23	⊢
	: , : , : , :
14	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
15	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
16	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
17	theorem		⊢
	proveit.logic.equality.sub_right_side_into
18	instantiation	24, 36, 37, 25, 26	⊢
	: , : , : , : , :
19	instantiation	42, 27, 28	⊢
	: , : , :
20	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
21	instantiation	51, 29	⊢
	: , : , :
22	instantiation	51, 30	⊢
	: , : , :
23	instantiation	59, 36	⊢
	:
24	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_denom_left
25	instantiation	81, 32, 31	⊢
	: , : , :
26	instantiation	81, 32, 33	⊢
	: , : , :
27	instantiation	51, 34	⊢
	: , : , :
28	instantiation	51, 35	⊢
	: , : , :
29	instantiation	53, 36	⊢
	:
30	instantiation	53, 37	⊢
	:
31	instantiation	81, 39, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
33	instantiation	81, 39, 40	⊢
	: , : , :
34	instantiation	51, 41	⊢
	: , : , :
35	instantiation	42, 43, 44	⊢
	: , : , :
36	instantiation	81, 63, 45	⊢
	: , : , :
37	instantiation	81, 63, 46	⊢
	: , : , :
38	instantiation	81, 48, 47	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
40	instantiation	81, 48, 49	⊢
	: , : , :
41	instantiation	50, 60	⊢
	:
42	axiom		⊢
	proveit.logic.equality.equals_transitivity
43	instantiation	51, 52	⊢
	: , : , :
44	instantiation	53, 60	⊢
	:
45	instantiation	81, 55, 54	⊢
	: , : , :
46	instantiation	81, 55, 56	⊢
	: , : , :
47	instantiation	81, 58, 57	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
49	instantiation	81, 58, 69	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
51	axiom		⊢
	proveit.logic.equality.substitution
52	instantiation	59, 60	⊢
	:
53	theorem		⊢
	proveit.numbers.division.frac_one_denom
54	instantiation	81, 62, 61	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
56	instantiation	81, 62, 76	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
59	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
60	instantiation	81, 63, 64	⊢
	: , : , :
61	instantiation	81, 65, 66	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
63	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
64	instantiation	67, 68, 69	⊢
	: , : , :
65	instantiation	70, 71, 78	⊢
	: , :
66	assumption		⊢
67	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
68	instantiation	72, 73	⊢
	: , :
69	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
70	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
71	instantiation	74, 75, 76	⊢
	: , :
72	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
73	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
74	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
75	instantiation	77, 78	⊢
	:
76	instantiation	81, 79, 80	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.negation.int_closure
78	instantiation	81, 82, 83	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
80	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
81	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
82	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
83	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements