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.division.distribute_frac_through_subtract
2	instantiation	62, 39, 7	⊢
	: , : , :
3	instantiation	62, 39, 8	⊢
	: , : , :
4	reference	31	⊢
5	instantiation	9, 53	⊢
	:
6	instantiation	10, 11, 12	⊢
	: , : , :
7	instantiation	13, 14, 15, 16	⊢
	: , : , :
8	instantiation	62, 24, 17	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	18, 19, 20, 23, 21*	⊢
	: , : , :
12	instantiation	22, 23	⊢
	:
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
15	instantiation	62, 24, 25	⊢
	: , : , :
16	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
17	instantiation	62, 33, 26	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.division.frac_cancel_left
19	instantiation	62, 28, 27	⊢
	: , : , :
20	instantiation	62, 28, 29	⊢
	: , : , :
21	instantiation	30, 31	⊢
	:
22	theorem		⊢
	proveit.numbers.division.frac_one_denom
23	instantiation	62, 39, 32	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	62, 33, 52	⊢
	: , : , :
26	instantiation	62, 34, 35	⊢
	: , : , :
27	instantiation	62, 37, 36	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
29	instantiation	62, 37, 38	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
31	instantiation	62, 39, 40	⊢
	: , : , :
32	instantiation	41, 42	⊢
	:
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	instantiation	43, 44, 59	⊢
	: , :
35	assumption		⊢
36	instantiation	62, 46, 45	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
38	instantiation	62, 46, 47	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
40	instantiation	48, 49, 53	⊢
	: , : , :
41	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
42	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
43	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
44	instantiation	50, 51, 52	⊢
	: , :
45	instantiation	62, 54, 53	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
47	instantiation	62, 54, 55	⊢
	: , : , :
48	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
49	instantiation	56, 57	⊢
	: , :
50	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
51	instantiation	58, 59	⊢
	:
52	instantiation	62, 60, 61	⊢
	: , : , :
53	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
54	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
55	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
56	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
58	theorem		⊢
	proveit.numbers.negation.int_closure
59	instantiation	62, 63, 64	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
62	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
63	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
64	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements