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, 4, 5, 6, 7, 8, 9	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	30	⊢
4	reference	43	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	instantiation	31, 16, 11	⊢
	: , : , :
8	instantiation	12, 13	⊢
	:
9	instantiation	31, 16, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	31, 20, 15	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.negation.complex_closure
13	instantiation	31, 16, 17	⊢
	: , : , :
14	instantiation	31, 20, 18	⊢
	: , : , :
15	instantiation	31, 25, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	31, 20, 21	⊢
	: , : , :
18	instantiation	31, 25, 22	⊢
	: , : , :
19	instantiation	31, 23, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	31, 25, 27	⊢
	: , : , :
22	instantiation	31, 29, 43	⊢
	: , : , :
23	instantiation	26, 27, 28	⊢
	: , :
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
27	instantiation	31, 29, 30	⊢
	: , : , :
28	instantiation	31, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
33	instantiation	34, 43, 35, 36	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.deci_sequence_is_nat_pos
35	instantiation	37, 43, 38	⊢
	:
36	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
37	theorem		⊢
	proveit.numbers.numerals.decimals.n_in_digits
38	instantiation	39, 40, 41	⊢
	: , :
39	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
40	instantiation	42, 43	⊢
	:
41	instantiation	44, 45	⊢
	:
42	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
44	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
45	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9