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	instantiation	80, 66, 8	⊢
	: , : , :
3	reference	43	⊢
4	reference	57	⊢
5	instantiation	9, 82	⊢
	:
6	instantiation	13, 10, 11, 12	⊢
	: , : , : , :
7	instantiation	13, 14, 15, 16	⊢
	: , : , : , :
8	instantiation	80, 72, 17	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
10	instantiation	38, 18, 19	⊢
	: , : , :
11	instantiation	20, 42, 50, 51, 21	⊢
	: , : , :
12	instantiation	60	⊢
	:
13	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
14	instantiation	38, 22, 23	⊢
	: , : , :
15	instantiation	60	⊢
	:
16	instantiation	24, 25	⊢
	: , :
17	instantiation	73, 74, 62	⊢
	: , :
18	instantiation	44, 69, 79, 45, 31, 47, 36, 48	⊢
	: , : , : , : , : , :
19	instantiation	38, 26, 27	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
21	instantiation	28, 29, 30	⊢
	: , : , :
22	instantiation	44, 69, 79, 45, 31, 47, 50, 48, 36	⊢
	: , : , : , : , : , :
23	instantiation	49, 50, 36, 52	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.equality.equals_reversal
25	instantiation	32, 36	⊢
	:
26	instantiation	33, 69, 45, 47, 36, 48	⊢
	: , : , : , : , : , : , :
27	instantiation	34, 45, 79, 69, 47, 35, 36, 48, 37*	⊢
	: , : , : , : , : , :
28	theorem		⊢
	proveit.logic.equality.sub_right_side_into
29	instantiation	38, 39, 40	⊢
	: , : , :
30	instantiation	41, 50, 42	⊢
	: , :
31	instantiation	55	⊢
	: , :
32	theorem		⊢
	proveit.numbers.addition.elim_zero_left
33	theorem		⊢
	proveit.numbers.addition.leftward_commutation
34	theorem		⊢
	proveit.numbers.addition.association
35	instantiation	55	⊢
	: , :
36	instantiation	80, 58, 43	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
38	axiom		⊢
	proveit.logic.equality.equals_transitivity
39	instantiation	44, 69, 79, 45, 46, 47, 50, 48, 51	⊢
	: , : , : , : , : , :
40	instantiation	49, 50, 51, 52	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.addition.commutation
42	instantiation	80, 58, 53	⊢
	: , : , :
43	instantiation	80, 66, 54	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.addition.disassociation
45	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
46	instantiation	55	⊢
	: , :
47	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
48	instantiation	80, 58, 56	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
50	instantiation	80, 58, 57	⊢
	: , : , :
51	instantiation	80, 58, 59	⊢
	: , : , :
52	instantiation	60	⊢
	:
53	instantiation	80, 66, 61	⊢
	: , : , :
54	instantiation	80, 72, 62	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
56	instantiation	80, 66, 63	⊢
	: , : , :
57	instantiation	64, 65, 82	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
59	instantiation	80, 66, 67	⊢
	: , : , :
60	axiom		⊢
	proveit.logic.equality.equals_reflexivity
61	instantiation	80, 72, 68	⊢
	: , : , :
62	instantiation	80, 78, 69	⊢
	: , : , :
63	instantiation	80, 72, 74	⊢
	: , : , :
64	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
65	instantiation	70, 71	⊢
	: , :
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
67	instantiation	80, 72, 75	⊢
	: , : , :
68	instantiation	73, 74, 75	⊢
	: , :
69	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
70	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
71	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
72	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
73	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
74	instantiation	76, 77	⊢
	:
75	instantiation	80, 78, 79	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.negation.int_closure
77	instantiation	80, 81, 82	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
79	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
80	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
81	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
82	assumption		⊢
*equality replacement requirements