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	15	⊢
2	instantiation	4, 5	⊢
	: , : , :
3	instantiation	6, 10, 7, 39, 12, 8*	⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	9, 10, 47, 11, 12, 13*	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
7	instantiation	14, 47, 40	⊢
	: , :
8	instantiation	15, 16, 17	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
10	instantiation	57, 46, 18	⊢
	: , : , :
11	instantiation	57, 44, 19	⊢
	: , : , :
12	instantiation	20, 21	⊢
	:
13	instantiation	22, 37, 23, 24*	⊢
	: , :
14	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
15	axiom		⊢
	proveit.logic.equality.equals_transitivity
16	instantiation	25, 26, 50, 59, 27, 28, 37, 31, 29	⊢
	: , : , : , : , : , :
17	instantiation	30, 37, 31, 32	⊢
	: , : , :
18	instantiation	57, 44, 33	⊢
	: , : , :
19	instantiation	57, 51, 34	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
22	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
23	instantiation	57, 46, 35	⊢
	: , : , :
24	instantiation	36, 37	⊢
	:
25	theorem		⊢
	proveit.numbers.addition.disassociation
26	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
27	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28	instantiation	38	⊢
	: , :
29	instantiation	57, 46, 39	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
31	instantiation	57, 46, 40	⊢
	: , : , :
32	instantiation	41	⊢
	:
33	instantiation	57, 51, 42	⊢
	: , : , :
34	instantiation	43, 52	⊢
	:
35	instantiation	57, 44, 45	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
37	instantiation	57, 46, 47	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
39	instantiation	48, 47	⊢
	:
40	instantiation	48, 49	⊢
	:
41	axiom		⊢
	proveit.logic.equality.equals_reflexivity
42	instantiation	57, 58, 50	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.negation.int_closure
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
45	instantiation	57, 51, 52	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
47	instantiation	54, 55, 53	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.negation.real_closure
49	instantiation	54, 55, 56	⊢
	: , : , :
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
51	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
52	instantiation	57, 58, 59	⊢
	: , : , :
53	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
54	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
55	instantiation	60, 61	⊢
	: , :
56	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos
57	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
60	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements