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*	⊢
	: , :
1	theorem		⊢
	proveit.numbers.division.div_as_mult
2	instantiation	85, 73, 6	⊢
	: , : , :
3	instantiation	85, 73, 7	⊢
	: , : , :
4	instantiation	8, 33, 9	⊢
	: , :
5	instantiation	29, 10, 11	⊢
	: , : , :
6	instantiation	85, 71, 12	⊢
	: , : , :
7	instantiation	85, 71, 13	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_non_zero__not_zero
9	instantiation	85, 51, 14	⊢
	: , : , :
10	instantiation	15, 16	⊢
	: , : , :
11	instantiation	17, 24, 18, 63, 26, 19*	⊢
	: , : , :
12	instantiation	85, 20, 21	⊢
	: , : , :
13	instantiation	85, 79, 22	⊢
	: , : , :
14	instantiation	85, 66, 81	⊢
	: , : , :
15	axiom		⊢
	proveit.logic.equality.substitution
16	instantiation	23, 24, 74, 25, 26, 27*	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
18	instantiation	28, 74, 64	⊢
	: , :
19	instantiation	29, 30, 31	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_nonzero_within_rational
21	instantiation	32, 33, 34	⊢
	: , :
22	instantiation	35, 69, 36	⊢
	: , :
23	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
24	instantiation	85, 73, 37	⊢
	: , : , :
25	instantiation	85, 71, 38	⊢
	: , : , :
26	instantiation	39, 67	⊢
	:
27	instantiation	40, 61, 41, 42*	⊢
	: , :
28	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
29	axiom		⊢
	proveit.logic.equality.equals_transitivity
30	instantiation	43, 44, 78, 87, 45, 46, 61, 49, 47	⊢
	: , : , : , : , : , :
31	instantiation	48, 61, 49, 50	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.exponentiation.exp_rational_nonzero_closure
33	instantiation	85, 51, 52	⊢
	: , : , :
34	instantiation	53, 54, 55	⊢
	: , :
35	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
36	instantiation	85, 56, 81	⊢
	: , : , :
37	instantiation	85, 71, 57	⊢
	: , : , :
38	instantiation	85, 79, 58	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
40	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
41	instantiation	85, 73, 59	⊢
	: , : , :
42	instantiation	60, 61	⊢
	:
43	theorem		⊢
	proveit.numbers.addition.disassociation
44	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
45	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
46	instantiation	62	⊢
	: , :
47	instantiation	85, 73, 63	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
49	instantiation	85, 73, 64	⊢
	: , : , :
50	instantiation	65	⊢
	:
51	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
52	instantiation	85, 66, 67	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
54	instantiation	85, 77, 81	⊢
	: , : , :
55	instantiation	70, 68	⊢
	:
56	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
57	instantiation	85, 79, 69	⊢
	: , : , :
58	instantiation	70, 80	⊢
	:
59	instantiation	85, 71, 72	⊢
	: , : , :
60	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
61	instantiation	85, 73, 74	⊢
	: , : , :
62	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
63	instantiation	75, 74	⊢
	:
64	instantiation	75, 76	⊢
	:
65	axiom		⊢
	proveit.logic.equality.equals_reflexivity
66	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
67	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
68	instantiation	85, 77, 84	⊢
	: , : , :
69	instantiation	85, 86, 78	⊢
	: , : , :
70	theorem		⊢
	proveit.numbers.negation.int_closure
71	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
72	instantiation	85, 79, 80	⊢
	: , : , :
73	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
74	instantiation	82, 83, 81	⊢
	: , : , :
75	theorem		⊢
	proveit.numbers.negation.real_closure
76	instantiation	82, 83, 84	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
78	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
79	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
80	instantiation	85, 86, 87	⊢
	: , : , :
81	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
82	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
83	instantiation	88, 89	⊢
	: , :
84	axiom		⊢
	proveit.physics.quantum.QPE._n_in_natural_pos
85	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
86	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
87	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
88	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
89	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
*equality replacement requirements