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