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	, ,  ⊢
	:
1	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
2	instantiation	86, 4, 5	,  ⊢
	: , :
3	instantiation	6, 7	, ,  ⊢
	: , :
4	instantiation	86, 8, 92	⊢
	: , :
5	instantiation	9, 79	⊢
	:
6	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
7	instantiation	10, 55, 11, 12, 13, 14*, 15*	, ,  ⊢
	: , : , :
8	instantiation	86, 90, 87	⊢
	: , :
9	theorem		⊢
	proveit.numbers.negation.int_closure
10	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
11	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
12	instantiation	16, 17, 19	⊢
	: , : , :
13	instantiation	18, 19	⊢
	:
14	instantiation	46, 20, 21	⊢
	: , : , :
15	instantiation	34, 22, 23, 24	,  ⊢
	: , : , : , :
16	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
17	instantiation	25, 26	⊢
	: , :
18	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
19	assumption		⊢
20	instantiation	53, 99, 58, 59, 45, 61, 27, 73, 50	⊢
	: , : , : , : , : , :
21	instantiation	28, 59, 58, 61, 45, 73, 50	⊢
	: , : , : , :
22	instantiation	46, 29, 30	,  ⊢
	: , : , :
23	instantiation	75	⊢
	:
24	instantiation	31, 32	⊢
	: , :
25	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_within_real
27	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
28	theorem		⊢
	proveit.numbers.addition.elim_zero_any
29	instantiation	51, 33	,  ⊢
	: , : , :
30	instantiation	34, 35, 36, 37	,  ⊢
	: , : , : , :
31	theorem		⊢
	proveit.logic.equality.equals_reversal
32	instantiation	46, 38, 39	⊢
	: , : , :
33	instantiation	46, 40, 41	,  ⊢
	: , : , :
34	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
35	instantiation	53, 59, 43, 99, 61, 44, 65, 62, 69, 42	,  ⊢
	: , : , : , : , : , :
36	instantiation	53, 43, 58, 59, 44, 45, 61, 65, 62, 69, 73, 50	,  ⊢
	: , : , : , : , : , :
37	instantiation	46, 47, 48	,  ⊢
	: , : , :
38	instantiation	53, 59, 58, 99, 61, 49, 65, 50, 69	⊢
	: , : , : , : , : , :
39	instantiation	64, 69, 65, 63	⊢
	: , : , :
40	instantiation	51, 52	⊢
	: , : , :
41	instantiation	53, 99, 58, 59, 54, 61, 65, 62, 69	,  ⊢
	: , : , : , : , : , :
42	instantiation	97, 80, 55	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
44	instantiation	56	⊢
	: , : , :
45	instantiation	71	⊢
	: , :
46	axiom		⊢
	proveit.logic.equality.equals_transitivity
47	instantiation	57, 58, 99, 59, 60, 61, 65, 62, 69, 73, 63	,  ⊢
	: , : , : , : , : , : , : , :
48	instantiation	64, 73, 65, 66	,  ⊢
	: , : , :
49	instantiation	71	⊢
	: , :
50	instantiation	97, 80, 67	⊢
	: , : , :
51	axiom		⊢
	proveit.logic.equality.substitution
52	instantiation	68, 73, 69	⊢
	: , :
53	theorem		⊢
	proveit.numbers.addition.disassociation
54	instantiation	71	⊢
	: , :
55	instantiation	97, 88, 70	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
57	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
59	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
60	instantiation	71	⊢
	: , :
61	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
62	instantiation	72, 73	⊢
	:
63	instantiation	75	⊢
	:
64	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
65	instantiation	97, 80, 74	⊢
	: , : , :
66	instantiation	75	⊢
	:
67	instantiation	97, 76, 77	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_subtract
69	instantiation	97, 80, 78	⊢
	: , : , :
70	instantiation	97, 95, 79	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
72	theorem		⊢
	proveit.numbers.negation.complex_closure
73	instantiation	97, 80, 81	⊢
	: , : , :
74	instantiation	97, 88, 82	⊢
	: , : , :
75	axiom		⊢
	proveit.logic.equality.equals_reflexivity
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
77	instantiation	97, 83, 84	⊢
	: , : , :
78	instantiation	97, 88, 85	⊢
	: , : , :
79	instantiation	86, 96, 87	⊢
	: , :
80	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
81	instantiation	97, 88, 89	⊢
	: , : , :
82	instantiation	97, 95, 90	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
84	instantiation	97, 91, 94	⊢
	: , : , :
85	instantiation	97, 95, 92	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
87	instantiation	97, 93, 94	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
89	instantiation	97, 95, 96	⊢
	: , : , :
90	assumption		⊢
91	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
92	instantiation	97, 98, 99	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
94	instantiation	100, 101	⊢
	:
95	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
96	assumption		⊢
97	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
98	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
99	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
100	theorem		⊢
	proveit.numbers.negation.int_neg_closure
101	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
*equality replacement requirements