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