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.logic.equality.sub_right_side_into
2	instantiation	4, 5, 42, 10, 6, 7, 8*	⊢
	: , : , : , : , :
3	instantiation	9, 103, 10, 74, 11*, 12*, 13*	⊢
	: , : , : , : , :
4	theorem		⊢
	proveit.linear_algebra.addition.vec_sum_split_after
5	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
6	instantiation	14, 15	⊢
	: , :
7	instantiation	16, 17, 18, 95, 19, 20*, 21*	⊢
	: , : , :
8	instantiation	70, 22, 23	⊢
	: , : , :
9	theorem		⊢
	proveit.linear_algebra.addition.vec_sum_index_shift
10	instantiation	57, 73, 58	⊢
	: , :
11	instantiation	24, 88, 25	⊢
	: , :
12	instantiation	70, 26, 27	⊢
	: , : , :
13	instantiation	28, 88	⊢
	:
14	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
15	instantiation	29, 32	⊢
	:
16	theorem		⊢
	proveit.numbers.addition.strong_bound_via_left_term_bound
17	instantiation	112, 101, 30	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
19	instantiation	31, 32	⊢
	:
20	instantiation	70, 33, 34	⊢
	: , : , :
21	instantiation	70, 35, 36	⊢
	: , : , :
22	instantiation	46, 78, 111, 109, 79, 47, 88, 81, 92	⊢
	: , : , : , : , : , :
23	instantiation	37, 92, 88, 38	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
25	instantiation	50	⊢
	:
26	instantiation	46, 78, 111, 109, 79, 39, 54, 81, 55	⊢
	: , : , : , : , : , :
27	instantiation	70, 40, 41	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.negation.double_negation
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
30	instantiation	112, 105, 42	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
32	instantiation	43, 111, 108	⊢
	: , :
33	instantiation	46, 109, 111, 78, 47, 79, 44, 88, 81	⊢
	: , : , : , : , : , :
34	instantiation	45, 78, 111, 79, 47, 88, 81	⊢
	: , : , : , :
35	instantiation	46, 109, 111, 78, 47, 79, 88, 81	⊢
	: , : , : , : , : , :
36	instantiation	52, 78, 111, 109, 79, 48, 88, 81, 49*	⊢
	: , : , : , : , : , :
37	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
38	instantiation	50	⊢
	:
39	instantiation	89	⊢
	: , :
40	instantiation	51, 109, 78, 79, 54, 81, 55	⊢
	: , : , : , : , : , : , :
41	instantiation	52, 78, 111, 109, 79, 53, 54, 55, 81, 56*	⊢
	: , : , : , : , : , :
42	instantiation	57, 103, 58	⊢
	: , :
43	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
44	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
45	theorem		⊢
	proveit.numbers.addition.elim_zero_any
46	theorem		⊢
	proveit.numbers.addition.disassociation
47	instantiation	89	⊢
	: , :
48	instantiation	89	⊢
	: , :
49	instantiation	75, 59, 94*	⊢
	: , :
50	axiom		⊢
	proveit.logic.equality.equals_reflexivity
51	theorem		⊢
	proveit.numbers.addition.leftward_commutation
52	theorem		⊢
	proveit.numbers.addition.association
53	instantiation	89	⊢
	: , :
54	instantiation	112, 97, 60	⊢
	: , : , :
55	instantiation	112, 97, 61	⊢
	: , : , :
56	instantiation	70, 62, 63, 64*	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
58	instantiation	86, 104	⊢
	:
59	instantiation	77, 78, 111, 109, 79, 65, 92, 88, 72*	⊢
	: , : , : , : , : , :
60	instantiation	112, 101, 66	⊢
	: , : , :
61	instantiation	112, 101, 67	⊢
	: , : , :
62	instantiation	82, 68	⊢
	: , : , :
63	instantiation	75, 69	⊢
	: , :
64	instantiation	70, 71, 72	⊢
	: , : , :
65	instantiation	89	⊢
	: , :
66	instantiation	112, 105, 73	⊢
	: , : , :
67	instantiation	112, 105, 74	⊢
	: , : , :
68	instantiation	75, 76	⊢
	: , :
69	instantiation	77, 78, 111, 109, 79, 80, 93, 81, 88	⊢
	: , : , : , : , : , :
70	axiom		⊢
	proveit.logic.equality.equals_transitivity
71	instantiation	82, 83	⊢
	: , : , :
72	instantiation	84, 88	⊢
	:
73	instantiation	85, 107, 103	⊢
	: , :
74	instantiation	86, 103	⊢
	:
75	theorem		⊢
	proveit.logic.equality.equals_reversal
76	instantiation	87, 88	⊢
	:
77	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
78	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
79	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
80	instantiation	89	⊢
	: , :
81	instantiation	90, 92	⊢
	:
82	axiom		⊢
	proveit.logic.equality.substitution
83	instantiation	91, 92, 93, 94	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
85	theorem		⊢
	proveit.numbers.multiplication.mult_int_closure_bin
86	theorem		⊢
	proveit.numbers.negation.int_closure
87	theorem		⊢
	proveit.numbers.negation.mult_neg_one_left
88	instantiation	112, 97, 95	⊢
	: , : , :
89	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
90	theorem		⊢
	proveit.numbers.negation.complex_closure
91	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
92	instantiation	112, 97, 96	⊢
	: , : , :
93	instantiation	112, 97, 98	⊢
	: , : , :
94	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
95	instantiation	112, 101, 99	⊢
	: , : , :
96	instantiation	112, 101, 100	⊢
	: , : , :
97	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
98	instantiation	112, 101, 102	⊢
	: , : , :
99	instantiation	112, 105, 103	⊢
	: , : , :
100	instantiation	112, 105, 104	⊢
	: , : , :
101	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
102	instantiation	112, 105, 107	⊢
	: , : , :
103	instantiation	106, 107, 108	⊢
	: , :
104	instantiation	112, 110, 109	⊢
	: , : , :
105	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
106	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
107	instantiation	112, 110, 111	⊢
	: , : , :
108	instantiation	112, 113, 114	⊢
	: , : , :
109	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
110	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
111	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
112	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
113	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
114	assumption		⊢
*equality replacement requirements