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	39	⊢
2	instantiation	52, 4	⊢
	: , : , :
3	instantiation	52, 5	⊢
	: , : , :
4	instantiation	39, 6, 7	⊢
	: , : , :
5	instantiation	52, 8	⊢
	: , : , :
6	instantiation	52, 9	⊢
	: , : , :
7	instantiation	10, 95, 87, 11*	⊢
	: , : , : , :
8	instantiation	52, 12	⊢
	: , : , :
9	instantiation	13, 77, 25, 14*, 15*	⊢
	: , : , : , :
10	theorem		⊢
	proveit.numbers.addition.rational_pair_addition
11	instantiation	39, 16, 17	⊢
	: , : , :
12	instantiation	52, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.division.prod_of_fracs
14	instantiation	84, 77	⊢
	:
15	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
16	instantiation	42, 99, 19, 20, 21, 22	⊢
	: , : , : , :
17	instantiation	23, 24, 25, 77, 26*, 27*	⊢
	: , : , :
18	instantiation	28, 77, 29, 30, 31*	⊢
	: , :
19	instantiation	55	⊢
	: , :
20	instantiation	55	⊢
	: , :
21	instantiation	39, 32, 33	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.mult_4_4
23	theorem		⊢
	proveit.numbers.division.frac_cancel_left
24	instantiation	100, 35, 34	⊢
	: , : , :
25	instantiation	100, 35, 36	⊢
	: , : , :
26	instantiation	84, 37	⊢
	:
27	theorem		⊢
	proveit.numbers.numerals.decimals.mult_8_2
28	theorem		⊢
	proveit.numbers.division.div_as_mult
29	instantiation	100, 90, 38	⊢
	: , : , :
30	instantiation	74, 51	⊢
	:
31	instantiation	39, 40, 41	⊢
	: , : , :
32	instantiation	42, 99, 43, 44, 45, 46	⊢
	: , : , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_4
34	instantiation	100, 48, 47	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
36	instantiation	100, 48, 49	⊢
	: , : , :
37	instantiation	100, 90, 50	⊢
	: , : , :
38	instantiation	96, 97, 51	⊢
	: , : , :
39	axiom		⊢
	proveit.logic.equality.equals_transitivity
40	instantiation	52, 53	⊢
	: , : , :
41	instantiation	56, 54	⊢
	:
42	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
43	instantiation	55	⊢
	: , :
44	instantiation	55	⊢
	: , :
45	instantiation	56, 57	⊢
	:
46	instantiation	84, 57	⊢
	:
47	instantiation	100, 59, 58	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
49	instantiation	100, 59, 60	⊢
	: , : , :
50	instantiation	100, 88, 61	⊢
	: , : , :
51	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
52	axiom		⊢
	proveit.logic.equality.substitution
53	instantiation	62, 67, 91, 63, 64, 65*	⊢
	: , : , :
54	instantiation	66, 67, 68	⊢
	: , :
55	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
56	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
57	instantiation	100, 90, 69	⊢
	: , : , :
58	instantiation	100, 71, 70	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
60	instantiation	100, 71, 75	⊢
	: , : , :
61	instantiation	100, 94, 72	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
63	instantiation	73, 83	⊢
	:
64	instantiation	74, 75	⊢
	:
65	instantiation	76, 85, 77, 78*	⊢
	: , :
66	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
67	instantiation	100, 90, 79	⊢
	: , : , :
68	instantiation	80, 85	⊢
	:
69	instantiation	100, 88, 81	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.numerals.decimals.posnat8
71	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
72	instantiation	100, 101, 82	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.negation.real_closure
74	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
75	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
76	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
77	instantiation	100, 90, 83	⊢
	: , : , :
78	instantiation	84, 85	⊢
	:
79	instantiation	100, 88, 86	⊢
	: , : , :
80	theorem		⊢
	proveit.numbers.negation.complex_closure
81	instantiation	100, 94, 87	⊢
	: , : , :
82	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
83	instantiation	100, 88, 89	⊢
	: , : , :
84	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
85	instantiation	100, 90, 91	⊢
	: , : , :
86	instantiation	100, 94, 92	⊢
	: , : , :
87	instantiation	100, 101, 93	⊢
	: , : , :
88	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
89	instantiation	100, 94, 95	⊢
	: , : , :
90	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
91	instantiation	96, 97, 98	⊢
	: , : , :
92	instantiation	100, 101, 99	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
94	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
95	instantiation	100, 101, 102	⊢
	: , : , :
96	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
97	instantiation	103, 104	⊢
	: , :
98	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
99	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
100	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
101	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
102	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
103	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
104	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements