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	7	⊢
2	instantiation	5, 12, 99, 85, 13, 6, 18, 23, 24, 17, 26	, ,  ⊢
	: , : , : , : , : , : , :
3	instantiation	7, 8, 9, 10	, ,  ⊢
	: , : , : , :
4	instantiation	11, 12, 99, 85, 13, 14, 23, 24, 25, 54, 26	, ,  ⊢
	: , : , : , : , : , : , :
5	theorem		⊢
	proveit.numbers.multiplication.rightward_commutation
6	instantiation	27	⊢
	: , : , :
7	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
8	instantiation	15, 75, 85, 21, 16, 23, 24, 17, 18, 26	, ,  ⊢
	: , : , : , : , : , :
9	instantiation	72, 19	⊢
	: , : , :
10	instantiation	20, 75, 85, 21, 22, 23, 24, 25, 54, 26	, ,  ⊢
	: , : , : , : , : , :
11	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14	instantiation	27	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.multiplication.association
16	instantiation	31	⊢
	: , :
17	instantiation	32, 83, 33, 34	⊢
	: , :
18	instantiation	32, 54, 83, 28	⊢
	: , :
19	instantiation	38, 29, 30	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.multiplication.disassociation
21	instantiation	31	⊢
	: , :
22	instantiation	31	⊢
	: , :
23	assumption		⊢
24	assumption		⊢
25	instantiation	32, 46, 33, 34	⊢
	: , :
26	instantiation	35, 36, 37	⊢
	: , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
28	instantiation	43, 86	⊢
	:
29	instantiation	38, 39, 40	⊢
	: , : , :
30	instantiation	72, 41	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	theorem		⊢
	proveit.numbers.division.div_complex_closure
33	instantiation	97, 90, 42	⊢
	: , : , :
34	instantiation	43, 87	⊢
	:
35	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
36	assumption		⊢
37	instantiation	97, 90, 44	⊢
	: , : , :
38	theorem		⊢
	proveit.logic.equality.sub_right_side_into
39	instantiation	45, 46, 54, 47, 48, 49	⊢
	: , : , : , : , :
40	instantiation	50, 51, 52	⊢
	: , : , :
41	instantiation	53, 54	⊢
	:
42	instantiation	97, 93, 55	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
44	instantiation	56, 57	⊢
	:
45	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_numer_left
46	instantiation	97, 90, 57	⊢
	: , : , :
47	instantiation	97, 60, 58	⊢
	: , : , :
48	instantiation	97, 60, 59	⊢
	: , : , :
49	instantiation	97, 60, 61	⊢
	: , : , :
50	axiom		⊢
	proveit.logic.equality.equals_transitivity
51	instantiation	72, 62	⊢
	: , : , :
52	instantiation	72, 63	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.division.frac_one_denom
54	instantiation	97, 90, 64	⊢
	: , : , :
55	instantiation	97, 95, 65	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.negation.real_closure
57	instantiation	97, 93, 66	⊢
	: , : , :
58	instantiation	97, 69, 67	⊢
	: , : , :
59	instantiation	97, 69, 68	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
61	instantiation	97, 69, 70	⊢
	: , : , :
62	instantiation	72, 71	⊢
	: , : , :
63	instantiation	72, 73	⊢
	: , : , :
64	instantiation	97, 93, 74	⊢
	: , : , :
65	instantiation	97, 98, 75	⊢
	: , : , :
66	instantiation	97, 95, 76	⊢
	: , : , :
67	instantiation	97, 79, 77	⊢
	: , : , :
68	instantiation	97, 79, 78	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
70	instantiation	97, 79, 80	⊢
	: , : , :
71	instantiation	81, 83	⊢
	:
72	axiom		⊢
	proveit.logic.equality.substitution
73	instantiation	82, 83	⊢
	:
74	instantiation	97, 95, 84	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
76	instantiation	97, 98, 85	⊢
	: , : , :
77	instantiation	97, 88, 86	⊢
	: , : , :
78	instantiation	97, 88, 87	⊢
	: , : , :
79	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
80	instantiation	97, 88, 89	⊢
	: , : , :
81	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
82	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
83	instantiation	97, 90, 91	⊢
	: , : , :
84	instantiation	97, 98, 92	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
86	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
87	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
88	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
89	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
90	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
91	instantiation	97, 93, 94	⊢
	: , : , :
92	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
93	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
94	instantiation	97, 95, 96	⊢
	: , : , :
95	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
96	instantiation	97, 98, 99	⊢
	: , : , :
97	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
98	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
99	theorem		⊢
	proveit.numbers.numerals.decimals.nat3