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