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, 5	⊢
	: , : , :
3	instantiation	6, 7, 8, 9	⊢
	: , : , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	10, 11, 44, 12*	⊢
	: , :
6	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
7	instantiation	13, 57, 62, 14, 15, 26, 38, 37	⊢
	: , : , : , : , : , :
8	instantiation	16, 20, 17, 22, 18, 26, 38, 37	⊢
	: , : , : , :
9	instantiation	19, 57, 62, 20, 21, 22, 26, 38, 37, 23*	⊢
	: , : , : , : , : , :
10	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_binary_sum
11	instantiation	60, 50, 24	⊢
	: , : , :
12	instantiation	25, 26	⊢
	:
13	theorem		⊢
	proveit.numbers.addition.disassociation
14	instantiation	28	⊢
	: , :
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
16	theorem		⊢
	proveit.numbers.addition.elim_zero_any
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
18	instantiation	27	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.addition.association
20	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
21	instantiation	28	⊢
	: , :
22	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23	instantiation	29, 30, 31	⊢
	: , : , :
24	instantiation	60, 55, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.negation.double_negation
26	instantiation	60, 50, 33	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
29	theorem		⊢
	proveit.logic.equality.sub_right_side_into
30	instantiation	34, 37, 44, 35	⊢
	: , : , :
31	instantiation	36, 37, 38	⊢
	: , :
32	instantiation	60, 58, 39	⊢
	: , : , :
33	instantiation	40, 41, 53	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
35	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
36	theorem		⊢
	proveit.numbers.addition.commutation
37	instantiation	60, 50, 42	⊢
	: , : , :
38	instantiation	43, 44	⊢
	:
39	instantiation	45, 46	⊢
	:
40	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
41	instantiation	47, 48	⊢
	: , :
42	instantiation	60, 55, 49	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.negation.complex_closure
44	instantiation	60, 50, 51	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.negation.int_closure
46	instantiation	60, 52, 53	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
49	instantiation	60, 58, 54	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
51	instantiation	60, 55, 56	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
53	assumption		⊢
54	instantiation	60, 61, 57	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
56	instantiation	60, 58, 59	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
58	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
59	instantiation	60, 61, 62	⊢
	: , : , :
60	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements