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