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	theorem		⊢
	proveit.numbers.ordering.transitivity_less_eq_less_eq
2	instantiation	4, 22, 33, 8, 5, 6*	⊢
	: , : , :
3	instantiation	7, 8, 22, 9, 10	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.weak_bound_via_right_term_bound
5	instantiation	11, 12, 47, 44, 13, 14, 15*, 16*	⊢
	: , : , :
6	instantiation	17, 18	⊢
	:
7	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
8	instantiation	19, 47	⊢
	:
9	instantiation	20, 22, 38, 23	⊢
	: , : , :
10	instantiation	21, 22, 38, 23	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.multiplication.reversed_weak_bound_via_right_factor_bound
12	instantiation	69, 24, 25	⊢
	: , : , :
13	instantiation	26, 61, 66, 59	⊢
	: , : , :
14	instantiation	27, 28	⊢
	: , :
15	instantiation	30, 31, 37, 29*	⊢
	: , :
16	instantiation	30, 31, 40, 32*	⊢
	: , :
17	theorem		⊢
	proveit.numbers.addition.elim_zero_left
18	instantiation	69, 46, 33	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.negation.real_closure
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_lower_bound
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
23	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
25	instantiation	69, 34, 35	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.integers.interval_upper_bound
27	theorem		⊢
	proveit.numbers.ordering.relax_less
28	instantiation	36, 43	⊢
	:
29	instantiation	39, 37	⊢
	:
30	theorem		⊢
	proveit.numbers.multiplication.mult_neg_left
31	instantiation	69, 46, 38	⊢
	: , : , :
32	instantiation	39, 40	⊢
	:
33	instantiation	69, 52, 41	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
35	instantiation	69, 42, 43	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
37	instantiation	69, 46, 44	⊢
	: , : , :
38	instantiation	69, 52, 45	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
40	instantiation	69, 46, 47	⊢
	: , : , :
41	instantiation	69, 56, 63	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
43	instantiation	48, 49	⊢
	:
44	instantiation	50, 51, 71	⊢
	: , : , :
45	instantiation	69, 56, 64	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
47	instantiation	69, 52, 53	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.negation.int_neg_closure
49	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
50	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
51	instantiation	54, 55	⊢
	: , :
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
53	instantiation	69, 56, 57	⊢
	: , : , :
54	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
57	instantiation	69, 58, 59	⊢
	: , : , :
58	instantiation	60, 61, 66	⊢
	: , :
59	assumption		⊢
60	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
61	instantiation	62, 63, 64	⊢
	: , :
62	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
63	instantiation	65, 66	⊢
	:
64	instantiation	69, 67, 68	⊢
	: , : , :
65	theorem		⊢
	proveit.numbers.negation.int_closure
66	instantiation	69, 70, 71	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
68	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
69	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
70	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
71	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements