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	47	⊢
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
4	instantiation	8, 9, 11	⊢
	: , : , :
5	instantiation	10, 11	⊢
	:
6	instantiation	38, 12, 13	⊢
	: , : , :
7	instantiation	26, 14, 15, 16	,  ⊢
	: , : , : , :
8	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
9	instantiation	17, 18	⊢
	: , :
10	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
11	assumption		⊢
12	instantiation	45, 91, 50, 51, 37, 53, 19, 65, 42	⊢
	: , : , : , : , : , :
13	instantiation	20, 51, 50, 53, 37, 65, 42	⊢
	: , : , : , :
14	instantiation	38, 21, 22	,  ⊢
	: , : , :
15	instantiation	67	⊢
	:
16	instantiation	23, 24	⊢
	: , :
17	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_within_real
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
20	theorem		⊢
	proveit.numbers.addition.elim_zero_any
21	instantiation	43, 25	,  ⊢
	: , : , :
22	instantiation	26, 27, 28, 29	,  ⊢
	: , : , : , :
23	theorem		⊢
	proveit.logic.equality.equals_reversal
24	instantiation	38, 30, 31	⊢
	: , : , :
25	instantiation	38, 32, 33	,  ⊢
	: , : , :
26	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
27	instantiation	45, 51, 35, 91, 53, 36, 57, 54, 61, 34	,  ⊢
	: , : , : , : , : , :
28	instantiation	45, 35, 50, 51, 36, 37, 53, 57, 54, 61, 65, 42	,  ⊢
	: , : , : , : , : , :
29	instantiation	38, 39, 40	,  ⊢
	: , : , :
30	instantiation	45, 51, 50, 91, 53, 41, 57, 42, 61	⊢
	: , : , : , : , : , :
31	instantiation	56, 61, 57, 55	⊢
	: , : , :
32	instantiation	43, 44	⊢
	: , : , :
33	instantiation	45, 91, 50, 51, 46, 53, 57, 54, 61	,  ⊢
	: , : , : , : , : , :
34	instantiation	89, 72, 47	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
36	instantiation	48	⊢
	: , : , :
37	instantiation	63	⊢
	: , :
38	axiom		⊢
	proveit.logic.equality.equals_transitivity
39	instantiation	49, 50, 91, 51, 52, 53, 57, 54, 61, 65, 55	,  ⊢
	: , : , : , : , : , : , : , :
40	instantiation	56, 65, 57, 58	,  ⊢
	: , : , :
41	instantiation	63	⊢
	: , :
42	instantiation	89, 72, 59	⊢
	: , : , :
43	axiom		⊢
	proveit.logic.equality.substitution
44	instantiation	60, 65, 61	⊢
	: , :
45	theorem		⊢
	proveit.numbers.addition.disassociation
46	instantiation	63	⊢
	: , :
47	instantiation	89, 80, 62	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
49	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
51	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
52	instantiation	63	⊢
	: , :
53	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
54	instantiation	64, 65	⊢
	:
55	instantiation	67	⊢
	:
56	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
57	instantiation	89, 72, 66	⊢
	: , : , :
58	instantiation	67	⊢
	:
59	instantiation	89, 68, 69	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_subtract
61	instantiation	89, 72, 70	⊢
	: , : , :
62	instantiation	89, 87, 71	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
64	theorem		⊢
	proveit.numbers.negation.complex_closure
65	instantiation	89, 72, 73	⊢
	: , : , :
66	instantiation	89, 80, 74	⊢
	: , : , :
67	axiom		⊢
	proveit.logic.equality.equals_reflexivity
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
69	instantiation	89, 75, 76	⊢
	: , : , :
70	instantiation	89, 80, 77	⊢
	: , : , :
71	instantiation	78, 88, 79	⊢
	: , :
72	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
73	instantiation	89, 80, 81	⊢
	: , : , :
74	instantiation	89, 87, 82	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
76	instantiation	89, 83, 86	⊢
	: , : , :
77	instantiation	89, 87, 84	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
79	instantiation	89, 85, 86	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
81	instantiation	89, 87, 88	⊢
	: , : , :
82	assumption		⊢
83	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
84	instantiation	89, 90, 91	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
86	instantiation	92, 93	⊢
	:
87	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
88	assumption		⊢
89	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
90	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
91	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
92	theorem		⊢
	proveit.numbers.negation.int_neg_closure
93	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
*equality replacement requirements