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	29	⊢
2	instantiation	4, 5	⊢
	: , :
3	instantiation	6, 75, 53, 36, 21, 37, 42, 23, 24, 7*	⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.logic.equality.equals_reversal
5	instantiation	8, 42, 9, 10*, 11*	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
7	instantiation	25, 12, 13	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
9	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
10	instantiation	14, 42	⊢
	:
11	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
12	instantiation	15, 53, 16, 17, 18, 19	⊢
	: , : , : , :
13	instantiation	20, 75, 53, 36, 21, 37, 22, 23, 24	⊢
	: , : , : , : , : , :
14	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
15	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
16	instantiation	43	⊢
	: , :
17	instantiation	43	⊢
	: , :
18	instantiation	25, 26, 27	⊢
	: , : , :
19	instantiation	28, 42	⊢
	:
20	theorem		⊢
	proveit.numbers.addition.disassociation
21	instantiation	43	⊢
	: , :
22	instantiation	29, 30, 31	⊢
	: , : , :
23	instantiation	73, 45, 49	⊢
	: , : , :
24	instantiation	73, 45, 67	⊢
	: , : , :
25	axiom		⊢
	proveit.logic.equality.equals_transitivity
26	instantiation	35, 75, 53, 36, 32, 37, 42, 41, 39	⊢
	: , : , : , : , : , :
27	instantiation	33, 36, 75, 37, 42, 41, 39	⊢
	: , : , : , : , : , : , :
28	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
29	theorem		⊢
	proveit.logic.equality.sub_right_side_into
30	instantiation	40, 34, 39	⊢
	: , :
31	instantiation	35, 36, 53, 75, 37, 38, 41, 42, 39	⊢
	: , : , : , : , : , :
32	instantiation	43	⊢
	: , :
33	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
34	instantiation	40, 41, 42	⊢
	: , :
35	theorem		⊢
	proveit.numbers.multiplication.disassociation
36	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
37	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
38	instantiation	43	⊢
	: , :
39	instantiation	73, 45, 60	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
41	instantiation	73, 45, 44	⊢
	: , : , :
42	instantiation	73, 45, 46	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
44	instantiation	73, 69, 47	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
46	instantiation	48, 49, 67	⊢
	: , :
47	instantiation	73, 71, 50	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
49	instantiation	73, 51, 52	⊢
	: , : , :
50	instantiation	73, 74, 53	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
52	instantiation	54, 55, 56	⊢
	: , :
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
54	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
55	instantiation	73, 57, 58	⊢
	: , : , :
56	instantiation	59, 60, 61	⊢
	:
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
58	instantiation	73, 62, 63	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
60	instantiation	64, 66, 67, 68	⊢
	: , : , :
61	instantiation	65, 66, 67, 68	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
63	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
64	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
65	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
67	instantiation	73, 69, 70	⊢
	: , : , :
68	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
69	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
70	instantiation	73, 71, 72	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
72	instantiation	73, 74, 75	⊢
	: , : , :
73	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
74	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
75	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements