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	50	⊢
3	instantiation	6	⊢
	: , :
4	instantiation	57, 12, 7	⊢
	: , : , :
5	instantiation	8, 9, 10	⊢
	: , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
7	instantiation	57, 17, 11	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_nonzero_closure
9	instantiation	57, 12, 13	⊢
	: , : , :
10	instantiation	57, 14, 15	⊢
	: , : , :
11	instantiation	57, 22, 16	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
13	instantiation	57, 17, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
15	instantiation	57, 19, 20	⊢
	: , : , :
16	instantiation	57, 25, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
18	instantiation	57, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
20	instantiation	57, 24, 45	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
23	instantiation	57, 25, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
26	instantiation	27, 28, 29	⊢
	:
27	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
28	instantiation	57, 30, 38	⊢
	: , : , :
29	instantiation	31, 32, 33	⊢
	: , : , :
30	instantiation	34, 36, 37	⊢
	: , :
31	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
32	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
33	instantiation	35, 36, 37, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
35	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
36	instantiation	57, 49, 39	⊢
	: , : , :
37	instantiation	51, 40, 41	⊢
	: , :
38	theorem		⊢
	proveit.physics.quantum.QPE._e_value_in_e_domain
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
40	instantiation	42, 45, 43	⊢
	: , :
41	instantiation	44, 45	⊢
	:
42	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
43	instantiation	46, 47, 48	⊢
	:
44	theorem		⊢
	proveit.numbers.negation.int_closure
45	instantiation	57, 49, 50	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
47	instantiation	51, 52, 53	⊢
	: , :
48	instantiation	54, 55	⊢
	: , :
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
51	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
52	instantiation	57, 56, 61	⊢
	: , : , :
53	instantiation	57, 58, 59	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
55	instantiation	60, 61	⊢
	:
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
57	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
58	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
59	instantiation	62, 63	⊢
	:
60	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
61	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
62	theorem		⊢
	proveit.numbers.negation.int_neg_closure
63	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1