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, 18, 4, 5, 6, 7*, 8*	⊢
	: , : , : , :
3	theorem		⊢
	proveit.numbers.division.prod_of_fracs
4	instantiation	9, 10, 11	⊢
	: , :
5	instantiation	95, 43, 12	⊢
	: , : , :
6	instantiation	35, 16, 13	⊢
	:
7	instantiation	14, 18	⊢
	:
8	instantiation	15, 16	⊢
	:
9	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
10	instantiation	17, 18, 19	⊢
	: , :
11	instantiation	95, 54, 20	⊢
	: , : , :
12	instantiation	95, 21, 22	⊢
	: , : , :
13	instantiation	23, 74, 24, 25, 26	⊢
	: , :
14	theorem		⊢
	proveit.numbers.division.frac_one_denom
15	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
16	instantiation	95, 54, 27	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
18	instantiation	95, 54, 84	⊢
	: , : , :
19	instantiation	95, 54, 28	⊢
	: , : , :
20	instantiation	58, 29, 60	⊢
	: , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
22	instantiation	95, 30, 31	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.multiplication.mult_not_eq_zero
24	instantiation	32	⊢
	: , :
25	instantiation	33, 34, 48	⊢
	: , :
26	instantiation	35, 36, 37	⊢
	:
27	instantiation	38, 39, 45	⊢
	: , :
28	instantiation	58, 59, 40	⊢
	: , :
29	instantiation	95, 91, 41	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
31	instantiation	95, 42, 82	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
33	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_nonzero_closure
34	instantiation	95, 43, 44	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
36	instantiation	95, 54, 45	⊢
	: , : , :
37	instantiation	46, 47, 48, 49	⊢
	: , :
38	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
39	instantiation	52, 84, 74	⊢
	: , :
40	instantiation	50, 89	⊢
	:
41	instantiation	95, 93, 51	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
43	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
44	instantiation	95, 61, 72	⊢
	: , : , :
45	instantiation	52, 53, 74	⊢
	: , :
46	theorem		⊢
	proveit.numbers.exponentiation.exp_not_eq_zero
47	instantiation	95, 54, 53	⊢
	: , : , :
48	instantiation	95, 54, 59	⊢
	: , : , :
49	instantiation	55, 56	⊢
	:
50	theorem		⊢
	proveit.numbers.negation.real_closure
51	instantiation	95, 96, 57	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
53	instantiation	58, 59, 60	⊢
	: , :
54	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
56	instantiation	95, 61, 62	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
58	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
59	instantiation	95, 91, 63	⊢
	: , : , :
60	instantiation	64, 89, 84, 73	⊢
	: , :
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
62	instantiation	65, 66, 67	⊢
	: , :
63	instantiation	95, 93, 68	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.division.div_real_closure
65	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
66	instantiation	95, 76, 69	⊢
	: , : , :
67	instantiation	70, 71, 72, 73	⊢
	: , :
68	instantiation	95, 96, 74	⊢
	: , : , :
69	instantiation	95, 81, 75	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
71	instantiation	95, 76, 77	⊢
	: , : , :
72	instantiation	78, 84, 85	⊢
	:
73	instantiation	79, 80	⊢
	: , :
74	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
75	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
76	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
77	instantiation	95, 81, 82	⊢
	: , : , :
78	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
79	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
80	instantiation	83, 88, 84, 85	⊢
	: , :
81	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
82	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
83	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
84	instantiation	86, 88, 89, 90	⊢
	: , : , :
85	instantiation	87, 88, 89, 90	⊢
	: , : , :
86	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
87	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
88	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
89	instantiation	95, 91, 92	⊢
	: , : , :
90	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
91	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
92	instantiation	95, 93, 94	⊢
	: , : , :
93	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
94	instantiation	95, 96, 97	⊢
	: , : , :
95	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
96	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
97	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements