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	49	⊢
2	instantiation	4, 12, 13, 72, 14, 8, 65, 17, 16	, , ,  ⊢
	: , : , : , : , : , :
3	instantiation	49, 5, 6	, , ,  ⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.multiplication.disassociation
5	instantiation	7, 12, 13, 14, 8, 65, 17, 16	, , ,  ⊢
	: , : , : , : , : , : , :
6	instantiation	49, 9, 10	, , ,  ⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
8	instantiation	19	⊢
	: , :
9	instantiation	11, 12, 13, 72, 14, 15, 16, 65, 17	, , ,  ⊢
	: , : , : , : , : , :
10	instantiation	57, 18	, ,  ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.multiplication.association
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
14	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
15	instantiation	19	⊢
	: , :
16	instantiation	20, 44, 65, 41	, ,  ⊢
	: , :
17	instantiation	70, 68, 21	⊢
	: , : , :
18	instantiation	24, 22, 23	, ,  ⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20	theorem		⊢
	proveit.numbers.division.div_complex_closure
21	assumption		⊢
22	instantiation	24, 25, 26	, ,  ⊢
	: , : , :
23	instantiation	27, 28, 29, 30	⊢
	: , : , : , :
24	theorem		⊢
	proveit.logic.equality.sub_right_side_into
25	instantiation	31, 44, 45, 32, 33	, ,  ⊢
	: , : , : , : , :
26	instantiation	49, 34, 35	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
28	instantiation	57, 36	⊢
	: , : , :
29	instantiation	57, 37	⊢
	: , : , :
30	instantiation	64, 44	⊢
	:
31	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_denom_left
32	instantiation	70, 38, 39	⊢
	: , : , :
33	instantiation	40, 65, 41	,  ⊢
	:
34	instantiation	57, 42	⊢
	: , : , :
35	instantiation	57, 43	⊢
	: , : , :
36	instantiation	59, 44	⊢
	:
37	instantiation	59, 45	⊢
	:
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
39	instantiation	70, 46, 47	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
41	assumption		⊢
42	instantiation	57, 48	⊢
	: , : , :
43	instantiation	49, 50, 51	⊢
	: , : , :
44	instantiation	70, 68, 52	⊢
	: , : , :
45	instantiation	70, 68, 53	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
47	instantiation	70, 54, 55	⊢
	: , : , :
48	instantiation	56, 65	⊢
	:
49	axiom		⊢
	proveit.logic.equality.equals_transitivity
50	instantiation	57, 58	⊢
	: , : , :
51	instantiation	59, 65	⊢
	:
52	assumption		⊢
53	instantiation	70, 60, 61	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
55	instantiation	70, 62, 63	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
57	axiom		⊢
	proveit.logic.equality.substitution
58	instantiation	64, 65	⊢
	:
59	theorem		⊢
	proveit.numbers.division.frac_one_denom
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
61	instantiation	70, 66, 67	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
63	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
64	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
65	instantiation	70, 68, 69	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
67	instantiation	70, 71, 72	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
69	assumption		⊢
70	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
71	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
72	theorem		⊢
	proveit.numbers.numerals.decimals.nat1