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	63	⊢
2	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
3	instantiation	4, 5, 6, 7	⊢
	: , :
4	theorem		⊢
	proveit.numbers.division.div_real_closure
5	instantiation	63, 17, 8	⊢
	: , : , :
6	instantiation	9, 10, 11	⊢
	: , :
7	instantiation	12, 56, 13, 14, 15	⊢
	: , :
8	instantiation	63, 23, 42	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
10	instantiation	63, 17, 16	⊢
	: , : , :
11	instantiation	63, 17, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.multiplication.mult_not_eq_zero
13	instantiation	19	⊢
	: , :
14	instantiation	63, 21, 20	⊢
	: , : , :
15	instantiation	63, 21, 22	⊢
	: , : , :
16	instantiation	63, 23, 51	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	63, 23, 34	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20	instantiation	63, 25, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
22	instantiation	63, 25, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
24	instantiation	63, 28, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
26	instantiation	63, 28, 29	⊢
	: , : , :
27	instantiation	63, 31, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
29	instantiation	63, 31, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
32	instantiation	33, 34, 35	⊢
	:
33	theorem		⊢
	proveit.numbers.number_sets.integers.pos_int_is_natural_pos
34	instantiation	63, 36, 44	⊢
	: , : , :
35	instantiation	37, 38, 39	⊢
	: , : , :
36	instantiation	40, 42, 43	⊢
	: , :
37	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
38	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
39	instantiation	41, 42, 43, 44	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
41	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
42	instantiation	63, 55, 45	⊢
	: , : , :
43	instantiation	57, 46, 47	⊢
	: , :
44	theorem		⊢
	proveit.physics.quantum.QPE._e_value_in_e_domain
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
46	instantiation	48, 51, 49	⊢
	: , :
47	instantiation	50, 51	⊢
	:
48	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
49	instantiation	52, 53, 54	⊢
	:
50	theorem		⊢
	proveit.numbers.negation.int_closure
51	instantiation	63, 55, 56	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
53	instantiation	57, 58, 59	⊢
	: , :
54	instantiation	60, 61	⊢
	: , :
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
57	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
58	instantiation	63, 62, 67	⊢
	: , : , :
59	instantiation	63, 64, 65	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
61	instantiation	66, 67	⊢
	:
62	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
63	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
64	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
65	instantiation	68, 69	⊢
	:
66	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
67	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
68	theorem		⊢
	proveit.numbers.negation.int_neg_closure
69	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1