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, 10*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	reference	52	⊢
3	reference	45	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	11	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	43, 29, 12	⊢
	: , : , :
8	reference	21	⊢
9	reference	20	⊢
10	instantiation	13, 14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	43, 34, 16	⊢
	: , : , :
13	theorem		⊢
	proveit.logic.equality.sub_right_side_into
14	instantiation	17, 20, 25, 18	⊢
	: , : , :
15	instantiation	19, 20, 21	⊢
	: , :
16	instantiation	43, 38, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
18	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
19	theorem		⊢
	proveit.numbers.addition.commutation
20	instantiation	43, 29, 23	⊢
	: , : , :
21	instantiation	24, 25	⊢
	:
22	instantiation	43, 26, 27	⊢
	: , : , :
23	instantiation	43, 34, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.negation.complex_closure
25	instantiation	43, 29, 30	⊢
	: , : , :
26	instantiation	31, 39, 32	⊢
	: , :
27	assumption		⊢
28	instantiation	43, 38, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	43, 34, 35	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
32	instantiation	43, 36, 37	⊢
	: , : , :
33	instantiation	43, 44, 52	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
35	instantiation	43, 38, 39	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
37	instantiation	40, 52, 41, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
39	instantiation	43, 44, 45	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.deci_sequence_is_nat_pos
41	instantiation	46, 52, 47	⊢
	:
42	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
43	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
46	theorem		⊢
	proveit.numbers.numerals.decimals.n_in_digits
47	instantiation	48, 49, 50	⊢
	: , :
48	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
49	instantiation	51, 52	⊢
	:
50	instantiation	53, 54	⊢
	:
51	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
53	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
54	theorem		⊢
	proveit.numbers.numerals.decimals.posnat9
*equality replacement requirements