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, 5, 6*, 7*	⊢
	: , : , : , :
1	theorem		⊢
	proveit.numbers.division.prod_of_fracs
2	reference	17	⊢
3	instantiation	8, 9, 10	⊢
	: , :
4	instantiation	94, 42, 11	⊢
	: , : , :
5	instantiation	34, 15, 12	⊢
	:
6	instantiation	13, 17	⊢
	:
7	instantiation	14, 15	⊢
	:
8	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
9	instantiation	16, 17, 18	⊢
	: , :
10	instantiation	94, 53, 19	⊢
	: , : , :
11	instantiation	94, 20, 21	⊢
	: , : , :
12	instantiation	22, 73, 23, 24, 25	⊢
	: , :
13	theorem		⊢
	proveit.numbers.division.frac_one_denom
14	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
15	instantiation	94, 53, 26	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
17	instantiation	94, 53, 83	⊢
	: , : , :
18	instantiation	94, 53, 27	⊢
	: , : , :
19	instantiation	57, 28, 59	⊢
	: , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
21	instantiation	94, 29, 30	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.multiplication.mult_not_eq_zero
23	instantiation	31	⊢
	: , :
24	instantiation	32, 33, 47	⊢
	: , :
25	instantiation	34, 35, 36	⊢
	:
26	instantiation	37, 38, 44	⊢
	: , :
27	instantiation	57, 58, 39	⊢
	: , :
28	instantiation	94, 90, 40	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
30	instantiation	94, 41, 81	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
32	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_nonzero_closure
33	instantiation	94, 42, 43	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
35	instantiation	94, 53, 44	⊢
	: , : , :
36	instantiation	45, 46, 47, 48	⊢
	: , :
37	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
38	instantiation	51, 83, 73	⊢
	: , :
39	instantiation	49, 88	⊢
	:
40	instantiation	94, 92, 50	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
42	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
43	instantiation	94, 60, 71	⊢
	: , : , :
44	instantiation	51, 52, 73	⊢
	: , :
45	theorem		⊢
	proveit.numbers.exponentiation.exp_not_eq_zero
46	instantiation	94, 53, 52	⊢
	: , : , :
47	instantiation	94, 53, 58	⊢
	: , : , :
48	instantiation	54, 55	⊢
	:
49	theorem		⊢
	proveit.numbers.negation.real_closure
50	instantiation	94, 95, 56	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
52	instantiation	57, 58, 59	⊢
	: , :
53	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
55	instantiation	94, 60, 61	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
57	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
58	instantiation	94, 90, 62	⊢
	: , : , :
59	instantiation	63, 88, 83, 72	⊢
	: , :
60	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
61	instantiation	64, 65, 66	⊢
	: , :
62	instantiation	94, 92, 67	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.division.div_real_closure
64	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
65	instantiation	94, 75, 68	⊢
	: , : , :
66	instantiation	69, 70, 71, 72	⊢
	: , :
67	instantiation	94, 95, 73	⊢
	: , : , :
68	instantiation	94, 80, 74	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
70	instantiation	94, 75, 76	⊢
	: , : , :
71	instantiation	77, 83, 84	⊢
	:
72	instantiation	78, 79	⊢
	: , :
73	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
74	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
75	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
76	instantiation	94, 80, 81	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
78	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
79	instantiation	82, 87, 83, 84	⊢
	: , :
80	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
81	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
82	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
83	instantiation	85, 87, 88, 89	⊢
	: , : , :
84	instantiation	86, 87, 88, 89	⊢
	: , : , :
85	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
86	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
87	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
88	instantiation	94, 90, 91	⊢
	: , : , :
89	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
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.nat1
*equality replacement requirements