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	⊢
	: , : , : , :
1	theorem		⊢
	proveit.core_expr_types.operations.operands_substitution_via_tuple
2	reference	27	⊢
3	instantiation	6, 27	⊢
	: , :
4	instantiation	7, 8, 9, 10	⊢
	: , : , : , :
5	instantiation	11, 23, 68	⊢
	: , : , :
6	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
7	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
8	instantiation	12, 13, 14, 15, 16, 17, 18, 19*	⊢
	: , : , : , :
9	instantiation	66	⊢
	:
10	instantiation	20, 21	⊢
	: , :
11	theorem		⊢
	proveit.core_expr_types.tuples.partition_front
12	theorem		⊢
	proveit.core_expr_types.tuples.general_len
13	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
14	instantiation	63	⊢
	: , :
15	instantiation	63	⊢
	: , :
16	instantiation	63	⊢
	: , :
17	instantiation	22, 94, 34	⊢
	: , : , :
18	instantiation	22, 23, 35	⊢
	: , : , :
19	instantiation	36, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.logic.equality.equals_reversal
21	instantiation	26, 27	⊢
	: , :
22	theorem		⊢
	proveit.logic.equality.sub_left_side_into
23	instantiation	28, 29, 30	⊢
	:
24	instantiation	31, 99, 32, 33, 34, 35	⊢
	: , : , : , :
25	instantiation	36, 37, 38	⊢
	: , : , :
26	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len
27	instantiation	97, 39, 76	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
29	instantiation	40, 41, 42	⊢
	: , :
30	instantiation	43, 44	⊢
	: , :
31	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
32	instantiation	63	⊢
	: , :
33	instantiation	63	⊢
	: , :
34	instantiation	45, 70, 56	⊢
	: , : , :
35	instantiation	46, 94, 99, 50, 47, 52, 55, 71, 70, 48*	⊢
	: , : , : , : , : , :
36	axiom		⊢
	proveit.logic.equality.equals_transitivity
37	instantiation	49, 94, 99, 50, 51, 52, 70, 55, 53	⊢
	: , : , : , : , : , :
38	instantiation	54, 70, 55, 56	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
40	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
41	instantiation	97, 57, 76	⊢
	: , : , :
42	instantiation	97, 58, 88	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
44	instantiation	59, 76	⊢
	:
45	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
46	theorem		⊢
	proveit.numbers.addition.association
47	instantiation	63	⊢
	: , :
48	instantiation	60, 61, 62	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.addition.disassociation
50	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
51	instantiation	63	⊢
	: , :
52	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
53	instantiation	97, 85, 64	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
55	instantiation	97, 85, 65	⊢
	: , : , :
56	instantiation	66	⊢
	:
57	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
58	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
59	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
60	theorem		⊢
	proveit.logic.equality.sub_right_side_into
61	instantiation	67, 70, 79, 68	⊢
	: , : , :
62	instantiation	69, 70, 71	⊢
	: , :
63	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
64	instantiation	97, 72, 73	⊢
	: , : , :
65	instantiation	74, 75, 76	⊢
	: , : , :
66	axiom		⊢
	proveit.logic.equality.equals_reflexivity
67	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
68	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
69	theorem		⊢
	proveit.numbers.addition.commutation
70	instantiation	97, 85, 77	⊢
	: , : , :
71	instantiation	78, 79	⊢
	:
72	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
73	instantiation	97, 80, 81	⊢
	: , : , :
74	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
75	instantiation	82, 83	⊢
	: , :
76	assumption		⊢
77	instantiation	97, 90, 84	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.negation.complex_closure
79	instantiation	97, 85, 86	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
81	instantiation	97, 87, 88	⊢
	: , : , :
82	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
83	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
84	instantiation	97, 95, 89	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
86	instantiation	97, 90, 91	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
88	instantiation	92, 93	⊢
	:
89	instantiation	97, 98, 94	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
91	instantiation	97, 95, 96	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.negation.int_neg_closure
93	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
94	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
95	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
96	instantiation	97, 98, 99	⊢
	: , : , :
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.nat2
*equality replacement requirements