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