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	42	⊢
3	reference	10	⊢
4	instantiation	8, 46, 52	,  ⊢
	: , :
5	instantiation	9, 10, 46, 52, 11, 12	,  ⊢
	: , : , :
6	instantiation	16, 13, 14, 15	⊢
	: , : , : , :
7	instantiation	16, 17, 18, 19	,  ⊢
	: , : , : , :
8	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
9	theorem		⊢
	proveit.numbers.ordering.less_eq_add_right
10	instantiation	77, 58, 20	⊢
	: , : , :
11	instantiation	21, 68, 69, 66	,  ⊢
	: , : , :
12	instantiation	22, 76	⊢
	:
13	instantiation	28, 35, 29, 76, 36, 23, 37, 45, 27	⊢
	: , : , : , : , : , :
14	instantiation	28, 29, 35, 23, 31, 36, 37, 45, 40, 32	⊢
	: , : , : , : , : , :
15	instantiation	24, 25, 26	⊢
	: , : , :
16	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
17	instantiation	28, 35, 29, 76, 36, 30, 33, 45, 27	,  ⊢
	: , : , : , : , : , :
18	instantiation	28, 29, 35, 30, 31, 36, 33, 45, 40, 32	,  ⊢
	: , : , : , : , : , :
19	instantiation	34, 76, 35, 36, 33, 45, 40, 38	,  ⊢
	: , : , : , : , : , : , : , :
20	instantiation	77, 64, 68	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
22	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
23	instantiation	43	⊢
	: , :
24	axiom		⊢
	proveit.logic.equality.equals_transitivity
25	instantiation	34, 76, 35, 36, 37, 45, 40, 38	⊢
	: , : , : , : , : , : , : , :
26	instantiation	39, 40, 41	⊢
	: , :
27	instantiation	77, 51, 42	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.addition.disassociation
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
30	instantiation	43	⊢
	: , :
31	instantiation	43	⊢
	: , :
32	instantiation	44, 45	⊢
	:
33	instantiation	77, 51, 46	,  ⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
35	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
36	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
37	instantiation	77, 51, 47	⊢
	: , : , :
38	instantiation	49	⊢
	:
39	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_reverse
40	instantiation	77, 51, 48	⊢
	: , : , :
41	instantiation	49	⊢
	:
42	instantiation	77, 58, 50	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
44	theorem		⊢
	proveit.numbers.negation.complex_closure
45	instantiation	77, 51, 52	⊢
	: , : , :
46	instantiation	77, 58, 53	,  ⊢
	: , : , :
47	instantiation	77, 58, 54	⊢
	: , : , :
48	instantiation	55, 56, 79	⊢
	: , : , :
49	axiom		⊢
	proveit.logic.equality.equals_reflexivity
50	instantiation	77, 64, 57	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
52	instantiation	77, 58, 59	⊢
	: , : , :
53	instantiation	77, 64, 60	,  ⊢
	: , : , :
54	instantiation	77, 64, 71	⊢
	: , : , :
55	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
56	instantiation	61, 62	⊢
	: , :
57	instantiation	70, 74, 63	⊢
	: , :
58	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
59	instantiation	77, 64, 72	⊢
	: , : , :
60	instantiation	77, 65, 66	,  ⊢
	: , : , :
61	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
62	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
63	instantiation	73, 72	⊢
	:
64	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
65	instantiation	67, 68, 69	⊢
	: , :
66	assumption		⊢
67	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
68	instantiation	70, 71, 72	⊢
	: , :
69	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
70	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
71	instantiation	73, 74	⊢
	:
72	instantiation	77, 75, 76	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.negation.int_closure
74	instantiation	77, 78, 79	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
76	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
77	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
78	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
79	assumption		⊢
*equality replacement requirements