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