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*	⊢
	: , : , :
1	reference	25	⊢
2	instantiation	5, 6	⊢
	: , : , :
3	instantiation	13, 7	⊢
	: , :
4	instantiation	8, 63, 9, 58, 10*, 11*, 12*	⊢
	: , : , : , :
5	axiom		⊢
	proveit.logic.equality.substitution
6	instantiation	13, 14	⊢
	: , :
7	instantiation	15, 16, 61, 66, 17, 18, 54, 19, 31, 20*	⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
9	instantiation	21, 63	⊢
	:
10	instantiation	22, 54, 23	⊢
	:
11	instantiation	24, 54, 45, 41	⊢
	: , :
12	instantiation	25, 26, 27	⊢
	: , : , :
13	theorem		⊢
	proveit.logic.equality.equals_reversal
14	instantiation	28, 30, 31	⊢
	: , :
15	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18	instantiation	43	⊢
	: , :
19	instantiation	29, 30	⊢
	:
20	instantiation	44, 31	⊢
	:
21	theorem		⊢
	proveit.numbers.negation.int_closure
22	theorem		⊢
	proveit.numbers.division.frac_cancel_complete
23	instantiation	48, 32	⊢
	:
24	theorem		⊢
	proveit.numbers.division.neg_frac_neg_numerator
25	axiom		⊢
	proveit.logic.equality.equals_transitivity
26	instantiation	33, 61, 34, 35, 36, 37	⊢
	: , : , : , :
27	instantiation	38, 54, 45, 39	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.negation.neg_times_pos
29	theorem		⊢
	proveit.numbers.negation.complex_closure
30	instantiation	40, 54, 45, 41	⊢
	: , :
31	instantiation	64, 56, 42	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
33	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
34	instantiation	43	⊢
	: , :
35	instantiation	43	⊢
	: , :
36	instantiation	44, 45	⊢
	:
37	instantiation	46, 54, 47*	⊢
	: , :
38	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
39	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
40	theorem		⊢
	proveit.numbers.division.div_complex_closure
41	instantiation	48, 49	⊢
	:
42	instantiation	64, 50, 51	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
44	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
45	instantiation	64, 56, 52	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.negation.pos_times_neg
47	instantiation	53, 54	⊢
	:
48	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
49	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
51	assumption		⊢
52	instantiation	64, 59, 55	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
54	instantiation	64, 56, 57	⊢
	: , : , :
55	instantiation	64, 62, 58	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
57	instantiation	64, 59, 60	⊢
	: , : , :
58	instantiation	64, 65, 61	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
60	instantiation	64, 62, 63	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
62	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
63	instantiation	64, 65, 66	⊢
	: , : , :
64	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
65	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
66	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements