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