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	9	⊢
2	instantiation	4, 16, 5, 15, 18, 6, 7, 24, 19, 20, 8, 23	,  ⊢
	: , : , : , : , : , :
3	instantiation	9, 10, 11	,  ⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
6	instantiation	12	⊢
	: , : , :
7	instantiation	26	⊢
	: , :
8	instantiation	13, 20	⊢
	:
9	axiom		⊢
	proveit.logic.equality.equals_transitivity
10	instantiation	14, 15, 16, 51, 17, 18, 24, 19, 20, 23, 21	,  ⊢
	: , : , : , : , : , : , : , :
11	instantiation	22, 23, 24, 25	,  ⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
13	theorem		⊢
	proveit.numbers.negation.complex_closure
14	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	instantiation	26	⊢
	: , :
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	52, 30, 27	⊢
	: , : , :
20	instantiation	52, 30, 28	⊢
	: , : , :
21	instantiation	32	⊢
	:
22	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
23	instantiation	52, 30, 29	⊢
	: , : , :
24	instantiation	52, 30, 31	,  ⊢
	: , : , :
25	instantiation	32	⊢
	:
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27	instantiation	52, 37, 33	⊢
	: , : , :
28	instantiation	52, 37, 34	⊢
	: , : , :
29	instantiation	35, 36, 54	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	52, 37, 38	,  ⊢
	: , : , :
32	axiom		⊢
	proveit.logic.equality.equals_reflexivity
33	instantiation	52, 42, 39	⊢
	: , : , :
34	instantiation	52, 42, 48	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
36	instantiation	40, 41	⊢
	: , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	52, 42, 43	,  ⊢
	: , : , :
39	instantiation	44, 49	⊢
	:
40	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	instantiation	52, 45, 46	,  ⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.negation.int_closure
45	instantiation	47, 48, 49	⊢
	: , :
46	assumption		⊢
47	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
48	instantiation	52, 50, 51	⊢
	: , : , :
49	instantiation	52, 53, 54	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
54	assumption		⊢