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	⊢
	: , : , :
1	reference	40	⊢
2	instantiation	30, 3, 4	⊢
	: , : , :
3	instantiation	30, 5, 6	⊢
	: , : , :
4	instantiation	30, 7, 8	⊢
	: , : , :
5	instantiation	40, 9	⊢
	: , : , :
6	instantiation	40, 10	⊢
	: , : , :
7	instantiation	11, 36, 92, 80, 38, 12, 19, 49, 13	⊢
	: , : , : , : , : , :
8	instantiation	14, 19, 49, 15	⊢
	: , : , :
9	instantiation	23, 34, 61, 24, 16*	⊢
	: , :
10	instantiation	40, 17	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.addition.disassociation
12	instantiation	47	⊢
	: , :
13	instantiation	18, 19	⊢
	:
14	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
15	instantiation	20	⊢
	:
16	instantiation	30, 21, 22	⊢
	: , : , :
17	instantiation	23, 45, 61, 24, 25*	⊢
	: , :
18	theorem		⊢
	proveit.numbers.negation.complex_closure
19	instantiation	90, 69, 26	⊢
	: , : , :
20	axiom		⊢
	proveit.logic.equality.equals_reflexivity
21	instantiation	40, 41	⊢
	: , : , :
22	instantiation	30, 27, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.division.div_as_mult
24	instantiation	29, 89	⊢
	:
25	instantiation	30, 31, 32	⊢
	: , : , :
26	instantiation	90, 78, 33	⊢
	: , : , :
27	instantiation	42, 34, 49	⊢
	: , :
28	instantiation	35, 80, 92, 36, 37, 38, 49, 45, 46, 39*	⊢
	: , : , : , : , : , :
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
30	axiom		⊢
	proveit.logic.equality.equals_transitivity
31	instantiation	40, 41	⊢
	: , : , :
32	instantiation	42, 45, 49	⊢
	: , :
33	instantiation	90, 74, 43	⊢
	: , : , :
34	instantiation	44, 45, 46	⊢
	: , :
35	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
36	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
37	instantiation	47	⊢
	: , :
38	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
39	instantiation	48, 49	⊢
	:
40	axiom		⊢
	proveit.logic.equality.substitution
41	instantiation	50, 51, 87, 52*	⊢
	: , :
42	theorem		⊢
	proveit.numbers.multiplication.commutation
43	instantiation	53, 75, 54	⊢
	: , :
44	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
45	instantiation	90, 69, 55	⊢
	: , : , :
46	instantiation	90, 69, 56	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
48	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
49	instantiation	90, 69, 57	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
51	instantiation	90, 58, 59	⊢
	: , : , :
52	instantiation	60, 61	⊢
	:
53	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
54	instantiation	90, 88, 64	⊢
	: , : , :
55	instantiation	62, 63, 64	⊢
	: , : , :
56	instantiation	90, 78, 65	⊢
	: , : , :
57	instantiation	90, 78, 66	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
59	instantiation	90, 67, 68	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
61	instantiation	90, 69, 70	⊢
	: , : , :
62	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
63	instantiation	71, 72	⊢
	: , :
64	assumption		⊢
65	instantiation	90, 85, 73	⊢
	: , : , :
66	instantiation	90, 74, 75	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
68	instantiation	90, 76, 77	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
70	instantiation	90, 78, 79	⊢
	: , : , :
71	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
72	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
73	instantiation	90, 91, 80	⊢
	: , : , :
74	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
75	instantiation	81, 82, 83	⊢
	: , :
76	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
77	instantiation	90, 84, 89	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
79	instantiation	90, 85, 86	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
81	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
82	instantiation	90, 88, 87	⊢
	: , : , :
83	instantiation	90, 88, 89	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
85	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
86	instantiation	90, 91, 92	⊢
	: , : , :
87	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
88	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
89	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
90	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
91	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
92	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements