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