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	theorem		⊢
	proveit.logic.equality.sub_right_side_into
2	instantiation	4, 5	⊢
	:
3	instantiation	6, 74, 56, 40, 7, 41, 59, 8, 9, 10*, 11*	⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
5	instantiation	26, 28, 12	⊢
	: , :
6	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
7	instantiation	49	⊢
	: , :
8	instantiation	72, 61, 13	⊢
	: , : , :
9	instantiation	72, 61, 66	⊢
	: , : , :
10	instantiation	29, 14, 15	⊢
	: , : , :
11	instantiation	16, 59	⊢
	:
12	instantiation	17, 20, 18	⊢
	: , :
13	instantiation	72, 19, 20	⊢
	: , : , :
14	instantiation	21, 74, 56, 40, 22, 41, 59, 43	⊢
	: , : , : , : , : , :
15	instantiation	29, 23, 24	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
17	theorem		⊢
	proveit.numbers.addition.add_real_pos_closure_bin
18	instantiation	72, 34, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
20	instantiation	26, 27, 28	⊢
	: , :
21	theorem		⊢
	proveit.numbers.multiplication.disassociation
22	instantiation	49	⊢
	: , :
23	instantiation	29, 30, 31	⊢
	: , : , :
24	instantiation	32, 33, 43	⊢
	: , :
25	instantiation	72, 46, 52	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.multiplication.mult_real_pos_closure_bin
27	instantiation	72, 34, 35	⊢
	: , : , :
28	instantiation	36, 62, 37	⊢
	:
29	axiom		⊢
	proveit.logic.equality.equals_transitivity
30	instantiation	38, 74, 40, 41, 59, 43	⊢
	: , : , : , : , : , : , :
31	instantiation	39, 40, 56, 74, 41, 42, 59, 43, 44*	⊢
	: , : , : , : , : , :
32	theorem		⊢
	proveit.numbers.multiplication.commutation
33	instantiation	72, 61, 45	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
35	instantiation	72, 46, 47	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pos_real_is_real_pos
37	instantiation	48, 65, 66, 67	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
39	theorem		⊢
	proveit.numbers.multiplication.association
40	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
41	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
42	instantiation	49	⊢
	: , :
43	instantiation	72, 61, 50	⊢
	: , : , :
44	instantiation	51, 59, 52, 53*, 54*	⊢
	: , : , :
45	instantiation	55, 62, 56	⊢
	: , :
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
47	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.interval_oc_lower_bound
49	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
50	instantiation	72, 68, 57	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
52	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
53	instantiation	58, 59	⊢
	:
54	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
55	theorem		⊢
	proveit.numbers.exponentiation.exp_real_closure_nat_power
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
57	instantiation	72, 70, 60	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
59	instantiation	72, 61, 62	⊢
	: , : , :
60	instantiation	72, 73, 63	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
62	instantiation	64, 65, 66, 67	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
64	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
65	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
66	instantiation	72, 68, 69	⊢
	: , : , :
67	axiom		⊢
	proveit.physics.quantum.QPE._eps_in_interval
68	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
69	instantiation	72, 70, 71	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
71	instantiation	72, 73, 74	⊢
	: , : , :
72	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
73	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
74	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements