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	generalization	1	⊢
1	instantiation	2, 3	,  ⊢
	: , :
2	theorem		⊢
	proveit.logic.equality.equals_reversal
3	instantiation	4, 5, 6	,  ⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.equals_transitivity
5	instantiation	7, 12, 8, 35, 13, 9, 14, 10, 15, 18	,  ⊢
	: , : , : , : , : , :
6	instantiation	11, 35, 12, 13, 14, 18, 15	,  ⊢
	: , : , : , : , : , : , : , :
7	theorem		⊢
	proveit.numbers.addition.disassociation
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
9	instantiation	16	⊢
	: , : , :
10	instantiation	17, 18	⊢
	:
11	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_general_rev
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14	instantiation	46, 21, 19	,  ⊢
	: , : , :
15	instantiation	46, 21, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
17	theorem		⊢
	proveit.numbers.negation.complex_closure
18	instantiation	46, 21, 22	⊢
	: , : , :
19	instantiation	46, 26, 23	,  ⊢
	: , : , :
20	instantiation	24, 25, 48	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	instantiation	46, 26, 27	⊢
	: , : , :
23	instantiation	46, 31, 28	,  ⊢
	: , : , :
24	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
25	instantiation	29, 30	⊢
	: , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	46, 31, 32	⊢
	: , : , :
28	instantiation	46, 33, 34	,  ⊢
	: , : , :
29	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	46, 44, 35	⊢
	: , : , :
33	instantiation	36, 37, 38	⊢
	: , :
34	assumption		⊢
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
36	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
37	instantiation	39, 40, 41	⊢
	: , :
38	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
39	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
40	instantiation	42, 43	⊢
	:
41	instantiation	46, 44, 45	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.negation.int_closure
43	instantiation	46, 47, 48	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
46	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
48	assumption		⊢