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	reference	29	⊢
2	instantiation	29, 4, 5	⊢
	: , : , :
3	instantiation	29, 6, 7	⊢
	: , : , :
4	instantiation	39, 8	⊢
	: , : , :
5	instantiation	39, 9	⊢
	: , : , :
6	instantiation	10, 35, 91, 79, 37, 11, 18, 48, 12	⊢
	: , : , : , : , : , :
7	instantiation	13, 18, 48, 14	⊢
	: , : , :
8	instantiation	22, 33, 60, 23, 15*	⊢
	: , :
9	instantiation	39, 16	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.addition.disassociation
11	instantiation	46	⊢
	: , :
12	instantiation	17, 18	⊢
	:
13	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
14	instantiation	19	⊢
	:
15	instantiation	29, 20, 21	⊢
	: , : , :
16	instantiation	22, 44, 60, 23, 24*	⊢
	: , :
17	theorem		⊢
	proveit.numbers.negation.complex_closure
18	instantiation	89, 68, 25	⊢
	: , : , :
19	axiom		⊢
	proveit.logic.equality.equals_reflexivity
20	instantiation	39, 40	⊢
	: , : , :
21	instantiation	29, 26, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.division.div_as_mult
23	instantiation	28, 88	⊢
	:
24	instantiation	29, 30, 31	⊢
	: , : , :
25	instantiation	89, 77, 32	⊢
	: , : , :
26	instantiation	41, 33, 48	⊢
	: , :
27	instantiation	34, 79, 91, 35, 36, 37, 48, 44, 45, 38*	⊢
	: , : , : , : , : , :
28	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
29	axiom		⊢
	proveit.logic.equality.equals_transitivity
30	instantiation	39, 40	⊢
	: , : , :
31	instantiation	41, 44, 48	⊢
	: , :
32	instantiation	89, 73, 42	⊢
	: , : , :
33	instantiation	43, 44, 45	⊢
	: , :
34	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
35	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
36	instantiation	46	⊢
	: , :
37	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
38	instantiation	47, 48	⊢
	:
39	axiom		⊢
	proveit.logic.equality.substitution
40	instantiation	49, 50, 86, 51*	⊢
	: , :
41	theorem		⊢
	proveit.numbers.multiplication.commutation
42	instantiation	52, 74, 53	⊢
	: , :
43	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
44	instantiation	89, 68, 54	⊢
	: , : , :
45	instantiation	89, 68, 55	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
47	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
48	instantiation	89, 68, 56	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
50	instantiation	89, 57, 58	⊢
	: , : , :
51	instantiation	59, 60	⊢
	:
52	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
53	instantiation	89, 87, 63	⊢
	: , : , :
54	instantiation	61, 62, 63	⊢
	: , : , :
55	instantiation	89, 77, 64	⊢
	: , : , :
56	instantiation	89, 77, 65	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
58	instantiation	89, 66, 67	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
60	instantiation	89, 68, 69	⊢
	: , : , :
61	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
62	instantiation	70, 71	⊢
	: , :
63	assumption		⊢
64	instantiation	89, 84, 72	⊢
	: , : , :
65	instantiation	89, 73, 74	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
67	instantiation	89, 75, 76	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
69	instantiation	89, 77, 78	⊢
	: , : , :
70	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
71	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
72	instantiation	89, 90, 79	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
74	instantiation	80, 81, 82	⊢
	: , :
75	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
76	instantiation	89, 83, 88	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
78	instantiation	89, 84, 85	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
80	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
81	instantiation	89, 87, 86	⊢
	: , : , :
82	instantiation	89, 87, 88	⊢
	: , : , :
83	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
84	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
85	instantiation	89, 90, 91	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
87	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
88	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
89	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
90	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
91	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements