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	54	⊢
2	instantiation	4, 9, 82, 11, 5, 13, 12, 71	⊢
	: , : , : , : , : , : , :
3	instantiation	54, 6, 7	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.multiplication.rightward_commutation
5	instantiation	15	⊢
	: , :
6	instantiation	8, 75, 82, 9, 10, 11, 12, 71, 13	⊢
	: , : , : , : , : , :
7	instantiation	62, 14	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.multiplication.association
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	instantiation	15	⊢
	: , :
11	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12	instantiation	80, 73, 16	⊢
	: , : , :
13	instantiation	80, 73, 17	⊢
	: , : , :
14	instantiation	24, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	instantiation	20, 21, 22	⊢
	: , : , :
17	instantiation	80, 76, 23	⊢
	: , : , :
18	instantiation	24, 25, 26	⊢
	: , : , :
19	instantiation	27, 28, 29, 30	⊢
	: , : , : , :
20	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
21	instantiation	31, 32	⊢
	: , :
22	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
23	instantiation	80, 33, 34	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.equality.sub_right_side_into
25	instantiation	35, 49, 36, 37	⊢
	: , : , : , : , :
26	instantiation	54, 38, 39	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
28	instantiation	62, 40	⊢
	: , : , :
29	instantiation	62, 40	⊢
	: , : , :
30	instantiation	65, 49	⊢
	:
31	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
34	instantiation	41, 42, 43	⊢
	: , :
35	theorem		⊢
	proveit.numbers.division.mult_frac_cancel_numer_left
36	instantiation	80, 45, 44	⊢
	: , : , :
37	instantiation	80, 45, 46	⊢
	: , : , :
38	instantiation	62, 47	⊢
	: , : , :
39	instantiation	62, 48	⊢
	: , : , :
40	instantiation	64, 49	⊢
	:
41	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
42	instantiation	80, 50, 69	⊢
	: , : , :
43	instantiation	80, 50, 67	⊢
	: , : , :
44	instantiation	80, 52, 51	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
46	instantiation	80, 52, 53	⊢
	: , : , :
47	instantiation	54, 55, 56	⊢
	: , : , :
48	instantiation	62, 57	⊢
	: , : , :
49	instantiation	80, 73, 58	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
51	instantiation	80, 60, 59	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
53	instantiation	80, 60, 61	⊢
	: , : , :
54	axiom		⊢
	proveit.logic.equality.equals_transitivity
55	instantiation	62, 63	⊢
	: , : , :
56	instantiation	64, 71	⊢
	:
57	instantiation	65, 71	⊢
	:
58	instantiation	80, 76, 66	⊢
	: , : , :
59	instantiation	80, 68, 67	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
61	instantiation	80, 68, 69	⊢
	: , : , :
62	axiom		⊢
	proveit.logic.equality.substitution
63	instantiation	70, 71	⊢
	:
64	theorem		⊢
	proveit.numbers.division.frac_one_denom
65	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
66	instantiation	80, 78, 72	⊢
	: , : , :
67	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
68	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
69	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
70	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
71	instantiation	80, 73, 74	⊢
	: , : , :
72	instantiation	80, 81, 75	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
74	instantiation	80, 76, 77	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
77	instantiation	80, 78, 79	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
79	instantiation	80, 81, 82	⊢
	: , : , :
80	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
81	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
82	theorem		⊢
	proveit.numbers.numerals.decimals.nat2