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	modus ponens	1, 2	⊢
1	instantiation	3, 56, 57	⊢
	: , : , : , : , :
2	generalization	4	⊢
3	theorem		⊢
	proveit.core_expr_types.tuples.range_fn_transformation
4	instantiation	17, 5, 6	,  ⊢
	: , : , :
5	instantiation	7, 8	,  ⊢
	: , : , :
6	instantiation	17, 9, 10	,  ⊢
	: , : , :
7	axiom		⊢
	proveit.logic.equality.substitution
8	instantiation	12, 59, 23, 24, 11, 26, 32, 27, 28	,  ⊢
	: , : , : , : , : , :
9	instantiation	12, 24, 13, 23, 26, 14, 15, 32, 27, 28, 16, 31	,  ⊢
	: , : , : , : , : , :
10	instantiation	17, 18, 19	,  ⊢
	: , : , :
11	instantiation	34	⊢
	: , :
12	theorem		⊢
	proveit.numbers.addition.disassociation
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
14	instantiation	20	⊢
	: , : , :
15	instantiation	34	⊢
	: , :
16	instantiation	21, 28	⊢
	:
17	axiom		⊢
	proveit.logic.equality.equals_transitivity
18	instantiation	22, 23, 24, 59, 25, 26, 32, 27, 28, 31, 29	,  ⊢
	: , : , : , : , : , : , : , :
19	instantiation	30, 31, 32, 33	,  ⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
21	theorem		⊢
	proveit.numbers.negation.complex_closure
22	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
24	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
25	instantiation	34	⊢
	: , :
26	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
27	instantiation	60, 38, 35	⊢
	: , : , :
28	instantiation	60, 38, 36	⊢
	: , : , :
29	instantiation	40	⊢
	:
30	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
31	instantiation	60, 38, 37	⊢
	: , : , :
32	instantiation	60, 38, 39	,  ⊢
	: , : , :
33	instantiation	40	⊢
	:
34	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
35	instantiation	60, 45, 41	⊢
	: , : , :
36	instantiation	60, 45, 42	⊢
	: , : , :
37	instantiation	43, 44, 62	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
39	instantiation	60, 45, 46	,  ⊢
	: , : , :
40	axiom		⊢
	proveit.logic.equality.equals_reflexivity
41	instantiation	60, 50, 47	⊢
	: , : , :
42	instantiation	60, 50, 56	⊢
	: , : , :
43	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
44	instantiation	48, 49	⊢
	: , :
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
46	instantiation	60, 50, 51	,  ⊢
	: , : , :
47	instantiation	52, 57	⊢
	:
48	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
51	instantiation	60, 53, 54	,  ⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.negation.int_closure
53	instantiation	55, 56, 57	⊢
	: , :
54	assumption		⊢
55	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
56	instantiation	60, 58, 59	⊢
	: , : , :
57	instantiation	60, 61, 62	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
60	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
62	assumption		⊢