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	reference	16	⊢
2	instantiation	19, 4	,  ⊢
	: , : , :
3	instantiation	5, 6, 7, 8	,  ⊢
	: , : , : , :
4	instantiation	16, 9, 10	,  ⊢
	: , : , :
5	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
6	instantiation	21, 28, 12, 67, 30, 13, 34, 31, 37, 11	,  ⊢
	: , : , : , : , : , :
7	instantiation	21, 12, 27, 28, 13, 14, 30, 34, 31, 37, 43, 15	,  ⊢
	: , : , : , : , : , :
8	instantiation	16, 17, 18	,  ⊢
	: , : , :
9	instantiation	19, 20	⊢
	: , : , :
10	instantiation	21, 67, 27, 28, 22, 30, 34, 31, 37	,  ⊢
	: , : , : , : , : , :
11	instantiation	65, 50, 23	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
13	instantiation	24	⊢
	: , : , :
14	instantiation	41	⊢
	: , :
15	instantiation	65, 50, 25	⊢
	: , : , :
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	26, 27, 67, 28, 29, 30, 34, 31, 37, 43, 32	,  ⊢
	: , : , : , : , : , : , : , :
18	instantiation	33, 43, 34, 35	,  ⊢
	: , : , :
19	axiom		⊢
	proveit.logic.equality.substitution
20	instantiation	36, 43, 37	⊢
	: , :
21	theorem		⊢
	proveit.numbers.addition.disassociation
22	instantiation	41	⊢
	: , :
23	instantiation	65, 57, 38	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
25	instantiation	65, 39, 40	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
28	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
29	instantiation	41	⊢
	: , :
30	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
31	instantiation	42, 43	⊢
	:
32	instantiation	45	⊢
	:
33	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
34	instantiation	65, 50, 44	⊢
	: , : , :
35	instantiation	45	⊢
	:
36	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_subtract
37	instantiation	65, 50, 46	⊢
	: , : , :
38	instantiation	65, 63, 47	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
40	instantiation	65, 48, 49	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
42	theorem		⊢
	proveit.numbers.negation.complex_closure
43	instantiation	65, 50, 51	⊢
	: , : , :
44	instantiation	65, 57, 52	⊢
	: , : , :
45	axiom		⊢
	proveit.logic.equality.equals_reflexivity
46	instantiation	65, 57, 53	⊢
	: , : , :
47	instantiation	54, 64, 55	⊢
	: , :
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
49	instantiation	65, 56, 62	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
51	instantiation	65, 57, 58	⊢
	: , : , :
52	instantiation	65, 63, 59	⊢
	: , : , :
53	instantiation	65, 63, 60	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
55	instantiation	65, 61, 62	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
58	instantiation	65, 63, 64	⊢
	: , : , :
59	assumption		⊢
60	instantiation	65, 66, 67	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
62	instantiation	68, 69	⊢
	:
63	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
64	assumption		⊢
65	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
66	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
67	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
68	theorem		⊢
	proveit.numbers.negation.int_neg_closure
69	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1