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	, ,  ⊢
	: , :
1	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
2	instantiation	3, 48, 4, 5, 6, 7*, 8*	, ,  ⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
5	instantiation	9, 10, 12	⊢
	: , : , :
6	instantiation	11, 12	⊢
	:
7	instantiation	39, 13, 14	⊢
	: , : , :
8	instantiation	27, 15, 16, 17	,  ⊢
	: , : , : , :
9	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
10	instantiation	18, 19	⊢
	: , :
11	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
12	assumption		⊢
13	instantiation	46, 92, 51, 52, 38, 54, 20, 66, 43	⊢
	: , : , : , : , : , :
14	instantiation	21, 52, 51, 54, 38, 66, 43	⊢
	: , : , : , :
15	instantiation	39, 22, 23	,  ⊢
	: , : , :
16	instantiation	68	⊢
	:
17	instantiation	24, 25	⊢
	: , :
18	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_within_real
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
21	theorem		⊢
	proveit.numbers.addition.elim_zero_any
22	instantiation	44, 26	,  ⊢
	: , : , :
23	instantiation	27, 28, 29, 30	,  ⊢
	: , : , : , :
24	theorem		⊢
	proveit.logic.equality.equals_reversal
25	instantiation	39, 31, 32	⊢
	: , : , :
26	instantiation	39, 33, 34	,  ⊢
	: , : , :
27	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
28	instantiation	46, 52, 36, 92, 54, 37, 58, 55, 62, 35	,  ⊢
	: , : , : , : , : , :
29	instantiation	46, 36, 51, 52, 37, 38, 54, 58, 55, 62, 66, 43	,  ⊢
	: , : , : , : , : , :
30	instantiation	39, 40, 41	,  ⊢
	: , : , :
31	instantiation	46, 52, 51, 92, 54, 42, 58, 43, 62	⊢
	: , : , : , : , : , :
32	instantiation	57, 62, 58, 56	⊢
	: , : , :
33	instantiation	44, 45	⊢
	: , : , :
34	instantiation	46, 92, 51, 52, 47, 54, 58, 55, 62	,  ⊢
	: , : , : , : , : , :
35	instantiation	90, 73, 48	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
37	instantiation	49	⊢
	: , : , :
38	instantiation	64	⊢
	: , :
39	axiom		⊢
	proveit.logic.equality.equals_transitivity
40	instantiation	50, 51, 92, 52, 53, 54, 58, 55, 62, 66, 56	,  ⊢
	: , : , : , : , : , : , : , :
41	instantiation	57, 66, 58, 59	,  ⊢
	: , : , :
42	instantiation	64	⊢
	: , :
43	instantiation	90, 73, 60	⊢
	: , : , :
44	axiom		⊢
	proveit.logic.equality.substitution
45	instantiation	61, 66, 62	⊢
	: , :
46	theorem		⊢
	proveit.numbers.addition.disassociation
47	instantiation	64	⊢
	: , :
48	instantiation	90, 81, 63	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
50	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
52	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
53	instantiation	64	⊢
	: , :
54	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
55	instantiation	65, 66	⊢
	:
56	instantiation	68	⊢
	:
57	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
58	instantiation	90, 73, 67	⊢
	: , : , :
59	instantiation	68	⊢
	:
60	instantiation	90, 69, 70	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_subtract
62	instantiation	90, 73, 71	⊢
	: , : , :
63	instantiation	90, 88, 72	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
65	theorem		⊢
	proveit.numbers.negation.complex_closure
66	instantiation	90, 73, 74	⊢
	: , : , :
67	instantiation	90, 81, 75	⊢
	: , : , :
68	axiom		⊢
	proveit.logic.equality.equals_reflexivity
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
70	instantiation	90, 76, 77	⊢
	: , : , :
71	instantiation	90, 81, 78	⊢
	: , : , :
72	instantiation	79, 89, 80	⊢
	: , :
73	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
74	instantiation	90, 81, 82	⊢
	: , : , :
75	instantiation	90, 88, 83	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
77	instantiation	90, 84, 87	⊢
	: , : , :
78	instantiation	90, 88, 85	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
80	instantiation	90, 86, 87	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
82	instantiation	90, 88, 89	⊢
	: , : , :
83	assumption		⊢
84	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
85	instantiation	90, 91, 92	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
87	instantiation	93, 94	⊢
	:
88	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
89	assumption		⊢
90	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
91	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
92	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
93	theorem		⊢
	proveit.numbers.negation.int_neg_closure
94	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
*equality replacement requirements