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	⊢
	: , :
1	theorem		⊢
	proveit.numbers.multiplication.mult_not_eq_zero
2	reference	40	⊢
3	instantiation	6	⊢
	: , :
4	instantiation	7, 8, 17	⊢
	: , :
5	instantiation	9, 10, 11	⊢
	:
6	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
7	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_nonzero_closure
8	instantiation	61, 12, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
10	instantiation	61, 21, 14	⊢
	: , : , :
11	instantiation	15, 16, 17, 18	⊢
	: , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
13	instantiation	61, 27, 38	⊢
	: , : , :
14	instantiation	19, 20, 40	⊢
	: , :
15	theorem		⊢
	proveit.numbers.exponentiation.exp_not_eq_zero
16	instantiation	61, 21, 20	⊢
	: , : , :
17	instantiation	61, 21, 25	⊢
	: , : , :
18	instantiation	22, 23	⊢
	:
19	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
20	instantiation	24, 25, 26	⊢
	: , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
23	instantiation	61, 27, 28	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
25	instantiation	61, 57, 29	⊢
	: , : , :
26	instantiation	30, 55, 50, 39	⊢
	: , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
28	instantiation	31, 32, 33	⊢
	: , :
29	instantiation	61, 59, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.division.div_real_closure
31	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
32	instantiation	61, 42, 35	⊢
	: , : , :
33	instantiation	36, 37, 38, 39	⊢
	: , :
34	instantiation	61, 62, 40	⊢
	: , : , :
35	instantiation	61, 47, 41	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.division.div_real_pos_closure
37	instantiation	61, 42, 43	⊢
	: , : , :
38	instantiation	44, 50, 51	⊢
	:
39	instantiation	45, 46	⊢
	: , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
41	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
43	instantiation	61, 47, 48	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
45	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
46	instantiation	49, 54, 50, 51	⊢
	: , :
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
48	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
49	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
50	instantiation	52, 54, 55, 56	⊢
	: , : , :
51	instantiation	53, 54, 55, 56	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
55	instantiation	61, 57, 58	⊢
	: , : , :
56	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
58	instantiation	61, 59, 60	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
60	instantiation	61, 62, 63	⊢
	: , : , :
61	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
62	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
63	theorem		⊢
	proveit.numbers.numerals.decimals.nat1