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