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	⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	37, 5	⊢
	: , : , :
3	instantiation	6, 9, 64, 67, 11, 7, 26, 12, 13	⊢
	: , : , : , : , : , :
4	instantiation	8, 67, 64, 9, 10, 11, 26, 12, 13	⊢
	: , : , : , : , : , :
5	instantiation	14, 15, 52, 56, 27, 16, 17*	⊢
	: , : , : , :
6	theorem		⊢
	proveit.numbers.multiplication.disassociation
7	instantiation	18	⊢
	: , :
8	theorem		⊢
	proveit.numbers.multiplication.association
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	instantiation	18	⊢
	: , :
11	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12	instantiation	19, 26, 20	⊢
	: , :
13	instantiation	65, 51, 21	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.exponentiation.exp_factored_real
15	instantiation	22, 49, 50	⊢
	:
16	instantiation	23, 24	⊢
	: , :
17	instantiation	25, 26	⊢
	:
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
20	instantiation	65, 51, 27	⊢
	: , : , :
21	instantiation	32, 28, 29	⊢
	: , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
23	theorem		⊢
	proveit.logic.equality.equals_reversal
24	instantiation	30, 31, 46	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
26	instantiation	65, 51, 49	⊢
	: , : , :
27	instantiation	32, 52, 33	⊢
	: , :
28	instantiation	65, 59, 34	⊢
	: , : , :
29	instantiation	35, 56, 49, 36	⊢
	: , :
30	axiom		⊢
	proveit.logic.equality.equals_transitivity
31	instantiation	37, 38	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
33	instantiation	39, 56	⊢
	:
34	instantiation	65, 62, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.division.div_real_closure
36	instantiation	41, 42	⊢
	: , :
37	axiom		⊢
	proveit.logic.equality.substitution
38	instantiation	43, 44, 45, 46	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.negation.real_closure
40	instantiation	65, 66, 47	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
42	instantiation	48, 55, 49, 50	⊢
	: , :
43	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
44	instantiation	65, 51, 56	⊢
	: , : , :
45	instantiation	65, 51, 52	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
48	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq
49	instantiation	53, 55, 56, 57	⊢
	: , : , :
50	instantiation	54, 55, 56, 57	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
52	instantiation	65, 59, 58	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
54	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
55	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
56	instantiation	65, 59, 60	⊢
	: , : , :
57	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
58	instantiation	65, 62, 61	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
60	instantiation	65, 62, 63	⊢
	: , : , :
61	instantiation	65, 66, 64	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
63	instantiation	65, 66, 67	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
65	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
66	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
67	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements