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