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	modus ponens	1, 2	⊢
1	instantiation	3, 93, 94, 4	⊢
	: , : , : , :
2	generalization	5	⊢
3	theorem		⊢
	proveit.logic.booleans.conjunction.conjunction_from_quantification
4	instantiation	19, 33, 6, 73, 7, 8*, 9*	⊢
	: , : , :
5	instantiation	10, 11, 12	,  ⊢
	:
6	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
7	instantiation	13, 14	⊢
	: , :
8	instantiation	49, 15, 16	⊢
	: , : , :
9	instantiation	39, 17, 63, 18	⊢
	: , : , : , :
10	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
11	instantiation	95, 85, 99	,  ⊢
	: , :
12	instantiation	19, 67, 33, 20, 21, 22*, 23*	,  ⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.ordering.relax_less
14	instantiation	24, 104	⊢
	:
15	instantiation	53, 101, 54, 60, 48, 61, 25, 62, 70	⊢
	: , : , : , : , : , :
16	instantiation	26, 60, 54, 61, 48, 62, 70	⊢
	: , : , : , :
17	instantiation	49, 27, 28	⊢
	: , : , :
18	instantiation	29, 30	⊢
	: , :
19	theorem		⊢
	proveit.numbers.addition.weak_bound_via_left_term_bound
20	instantiation	31, 71, 77	,  ⊢
	: , :
21	instantiation	32, 33, 71, 77, 34, 35	,  ⊢
	: , : , :
22	instantiation	39, 36, 37, 38	⊢
	: , : , : , :
23	instantiation	39, 40, 41, 42	,  ⊢
	: , : , : , :
24	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
26	theorem		⊢
	proveit.numbers.addition.elim_zero_any
27	instantiation	53, 101, 54, 60, 48, 61, 65, 62, 70	⊢
	: , : , : , : , : , :
28	instantiation	43, 65, 70, 66	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.equality.equals_reversal
30	instantiation	44, 70	⊢
	:
31	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
32	theorem		⊢
	proveit.numbers.ordering.less_eq_add_right
33	instantiation	102, 83, 45	⊢
	: , : , :
34	instantiation	46, 93, 94, 91	,  ⊢
	: , : , :
35	instantiation	47, 101	⊢
	:
36	instantiation	53, 60, 54, 101, 61, 48, 62, 70, 52	⊢
	: , : , : , : , : , :
37	instantiation	53, 54, 60, 48, 56, 61, 62, 70, 65, 57	⊢
	: , : , : , : , : , :
38	instantiation	49, 50, 51	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
40	instantiation	53, 60, 54, 101, 61, 55, 58, 70, 52	,  ⊢
	: , : , : , : , : , :
41	instantiation	53, 54, 60, 55, 56, 61, 58, 70, 65, 57	,  ⊢
	: , : , : , : , : , :
42	instantiation	59, 101, 60, 61, 58, 70, 65, 63	,  ⊢
	: , : , : , : , : , : , : , :
43	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
44	theorem		⊢
	proveit.numbers.addition.elim_zero_left
45	instantiation	102, 89, 93	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
47	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
48	instantiation	68	⊢
	: , :
49	axiom		⊢
	proveit.logic.equality.equals_transitivity
50	instantiation	59, 101, 60, 61, 62, 70, 65, 63	⊢
	: , : , : , : , : , : , : , :
51	instantiation	64, 65, 66	⊢
	: , :
52	instantiation	102, 76, 67	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.addition.disassociation
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
55	instantiation	68	⊢
	: , :
56	instantiation	68	⊢
	: , :
57	instantiation	69, 70	⊢
	:
58	instantiation	102, 76, 71	,  ⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
60	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
61	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
62	instantiation	102, 76, 72	⊢
	: , : , :
63	instantiation	74	⊢
	:
64	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_reverse
65	instantiation	102, 76, 73	⊢
	: , : , :
66	instantiation	74	⊢
	:
67	instantiation	102, 83, 75	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
69	theorem		⊢
	proveit.numbers.negation.complex_closure
70	instantiation	102, 76, 77	⊢
	: , : , :
71	instantiation	102, 83, 78	,  ⊢
	: , : , :
72	instantiation	102, 83, 79	⊢
	: , : , :
73	instantiation	80, 81, 104	⊢
	: , : , :
74	axiom		⊢
	proveit.logic.equality.equals_reflexivity
75	instantiation	102, 89, 82	⊢
	: , : , :
76	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
77	instantiation	102, 83, 84	⊢
	: , : , :
78	instantiation	102, 89, 85	,  ⊢
	: , : , :
79	instantiation	102, 89, 96	⊢
	: , : , :
80	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
81	instantiation	86, 87	⊢
	: , :
82	instantiation	95, 99, 88	⊢
	: , :
83	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
84	instantiation	102, 89, 97	⊢
	: , : , :
85	instantiation	102, 90, 91	,  ⊢
	: , : , :
86	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
87	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
88	instantiation	98, 97	⊢
	:
89	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
90	instantiation	92, 93, 94	⊢
	: , :
91	assumption		⊢
92	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
93	instantiation	95, 96, 97	⊢
	: , :
94	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
95	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
96	instantiation	98, 99	⊢
	:
97	instantiation	102, 100, 101	⊢
	: , : , :
98	theorem		⊢
	proveit.numbers.negation.int_closure
99	instantiation	102, 103, 104	⊢
	: , : , :
100	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
101	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
102	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
103	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
104	assumption		⊢
*equality replacement requirements