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*	, ,  ⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
2	reference	44	⊢
3	reference	20	⊢
4	instantiation	8, 36, 9	,  ⊢
	: , :
5	instantiation	10, 11	, ,  ⊢
	:
6	instantiation	12, 13, 35	⊢
	: , :
7	instantiation	14, 15, 16	,  ⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
9	instantiation	17, 44	⊢
	:
10	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
11	instantiation	54, 18, 19	, ,  ⊢
	:
12	theorem		⊢
	proveit.numbers.addition.commutation
13	instantiation	83, 43, 20	⊢
	: , : , :
14	axiom		⊢
	proveit.logic.equality.equals_transitivity
15	instantiation	21, 22, 85, 78, 23, 24, 27, 25, 35	,  ⊢
	: , : , : , : , : , :
16	instantiation	26, 35, 27, 28	,  ⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.negation.real_closure
18	instantiation	75, 53, 29	,  ⊢
	: , :
19	instantiation	30, 31	,  ⊢
	: , :
20	instantiation	83, 51, 32	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.addition.disassociation
22	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
23	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
24	instantiation	33	⊢
	: , :
25	instantiation	34, 35	⊢
	:
26	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
27	instantiation	83, 43, 36	⊢
	: , : , :
28	instantiation	37	⊢
	:
29	instantiation	83, 38, 39	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.addition.subtraction.pos_difference
31	instantiation	40, 41, 42	,  ⊢
	: , : , :
32	instantiation	83, 58, 74	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
34	theorem		⊢
	proveit.numbers.negation.complex_closure
35	instantiation	83, 43, 44	⊢
	: , : , :
36	instantiation	83, 51, 45	⊢
	: , : , :
37	axiom		⊢
	proveit.logic.equality.equals_reflexivity
38	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
39	instantiation	46, 47	⊢
	:
40	theorem		⊢
	proveit.logic.equality.sub_right_side_into
41	instantiation	48, 68	⊢
	: , :
42	instantiation	49, 61, 50*	,  ⊢
	:
43	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
44	instantiation	83, 51, 52	⊢
	: , : , :
45	instantiation	83, 58, 53	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.negation.int_neg_closure
47	instantiation	54, 59, 55	⊢
	:
48	theorem		⊢
	proveit.logic.booleans.conjunction.right_from_and
49	theorem		⊢
	proveit.physics.quantum.QPE._modabs_in_full_domain_simp
50	instantiation	56, 57	⊢
	:
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
52	instantiation	83, 58, 59	⊢
	: , : , :
53	instantiation	83, 60, 61	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
55	instantiation	62, 63, 64	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
57	assumption		⊢
58	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
59	instantiation	83, 65, 70	⊢
	: , : , :
60	instantiation	71, 66, 77	⊢
	: , :
61	instantiation	67, 68	⊢
	: , :
62	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
63	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
64	instantiation	69, 74, 72, 70	⊢
	: , : , :
65	instantiation	71, 74, 72	⊢
	: , :
66	instantiation	75, 73, 74	⊢
	: , :
67	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
68	assumption		⊢
69	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
70	assumption		⊢
71	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
72	instantiation	75, 77, 76	⊢
	: , :
73	instantiation	79, 77	⊢
	:
74	instantiation	83, 84, 78	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
76	instantiation	79, 80	⊢
	:
77	instantiation	83, 81, 82	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
79	theorem		⊢
	proveit.numbers.negation.int_closure
80	instantiation	83, 84, 85	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
82	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
83	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
84	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
85	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements