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_less_eq
2	instantiation	4, 8, 5, 60, 6	⊢
	: , : , :
3	instantiation	7, 60, 8, 9, 10, 11*	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
5	instantiation	12, 14, 60, 15	⊢
	: , : , :
6	instantiation	13, 14, 60, 15	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.addition.weak_bound_via_right_term_bound
8	instantiation	16, 47	⊢
	:
9	instantiation	17, 70, 45	⊢
	: , :
10	instantiation	18, 45, 66, 47, 19, 20, 21*, 22*	⊢
	: , : , :
11	instantiation	41, 23, 24	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
13	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_co_upper_bound
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
15	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
16	theorem		⊢
	proveit.numbers.negation.real_closure
17	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
18	theorem		⊢
	proveit.numbers.multiplication.reversed_weak_bound_via_right_factor_bound
19	instantiation	25, 83, 90, 74	⊢
	: , : , :
20	instantiation	26, 27	⊢
	: , :
21	instantiation	29, 52, 40, 28*	⊢
	: , :
22	instantiation	29, 52, 58, 30*	⊢
	: , :
23	instantiation	31, 92, 32, 33, 34, 35, 52, 62, 36	⊢
	: , : , : , : , : , :
24	instantiation	37, 52, 62, 38	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
26	theorem		⊢
	proveit.numbers.ordering.relax_less
27	instantiation	39, 72	⊢
	:
28	instantiation	57, 40	⊢
	:
29	theorem		⊢
	proveit.numbers.multiplication.mult_neg_left
30	instantiation	41, 42, 43	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.addition.disassociation
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
33	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
34	instantiation	44	⊢
	: , :
35	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
36	instantiation	93, 69, 45	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
38	instantiation	46	⊢
	:
39	theorem		⊢
	proveit.numbers.number_sets.integers.negative_if_in_neg_int
40	instantiation	93, 69, 47	⊢
	: , : , :
41	axiom		⊢
	proveit.logic.equality.equals_transitivity
42	instantiation	48, 49	⊢
	: , : , :
43	instantiation	50, 51, 52, 53*	⊢
	: , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
45	instantiation	93, 54, 55	⊢
	: , : , :
46	axiom		⊢
	proveit.logic.equality.equals_reflexivity
47	instantiation	93, 75, 56	⊢
	: , : , :
48	axiom		⊢
	proveit.logic.equality.substitution
49	instantiation	57, 58	⊢
	:
50	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
51	instantiation	93, 69, 59	⊢
	: , : , :
52	instantiation	93, 69, 60	⊢
	: , : , :
53	instantiation	61, 62	⊢
	:
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
55	instantiation	93, 63, 64	⊢
	: , : , :
56	instantiation	93, 82, 65	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
58	instantiation	93, 69, 66	⊢
	: , : , :
59	instantiation	93, 75, 67	⊢
	: , : , :
60	instantiation	93, 75, 68	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.negation.double_negation
62	instantiation	93, 69, 70	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
64	instantiation	93, 71, 72	⊢
	: , : , :
65	instantiation	93, 73, 74	⊢
	: , : , :
66	instantiation	93, 75, 76	⊢
	: , : , :
67	instantiation	93, 82, 87	⊢
	: , : , :
68	instantiation	93, 82, 88	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
70	instantiation	77, 78, 95	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
72	instantiation	79, 80	⊢
	:
73	instantiation	81, 83, 90	⊢
	: , :
74	assumption		⊢
75	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
76	instantiation	93, 82, 83	⊢
	: , : , :
77	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
78	instantiation	84, 85	⊢
	: , :
79	theorem		⊢
	proveit.numbers.negation.int_neg_closure
80	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
81	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
82	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
83	instantiation	86, 87, 88	⊢
	: , :
84	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
85	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
86	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
87	instantiation	89, 90	⊢
	:
88	instantiation	93, 91, 92	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.negation.int_closure
90	instantiation	93, 94, 95	⊢
	: , : , :
91	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
92	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
93	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
94	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
95	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
*equality replacement requirements