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	81, 56, 6	⊢
	: , : , :
3	instantiation	81, 56, 7	⊢
	: , : , :
4	instantiation	22, 11	⊢
	:
5	instantiation	33, 8, 9	⊢
	: , : , :
6	instantiation	72, 73, 10	⊢
	: , : , :
7	instantiation	72, 73, 11	⊢
	: , : , :
8	instantiation	26, 12	⊢
	: , : , :
9	instantiation	13, 39, 14, 55, 17, 15*	⊢
	: , : , :
10	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos
11	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
12	instantiation	16, 39, 65, 57, 17, 18*	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
14	instantiation	19, 65, 57	⊢
	: , :
15	instantiation	33, 20, 21	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
17	instantiation	22, 69	⊢
	:
18	instantiation	23, 47, 24, 25*	⊢
	: , :
19	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
20	instantiation	26, 27	⊢
	: , : , :
21	instantiation	28, 29, 85, 30*	⊢
	: , :
22	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
23	theorem		⊢
	proveit.numbers.multiplication.mult_neg_right
24	instantiation	81, 56, 31	⊢
	: , : , :
25	instantiation	32, 47	⊢
	:
26	axiom		⊢
	proveit.logic.equality.substitution
27	instantiation	33, 34, 35	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
29	instantiation	81, 36, 37	⊢
	: , : , :
30	instantiation	38, 39	⊢
	:
31	instantiation	81, 61, 40	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
33	axiom		⊢
	proveit.logic.equality.equals_transitivity
34	instantiation	41, 42, 78, 63, 43, 44, 47, 48, 45	⊢
	: , : , : , : , : , :
35	instantiation	46, 47, 48, 49	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
37	instantiation	81, 50, 51	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
39	instantiation	81, 56, 52	⊢
	: , : , :
40	instantiation	81, 70, 53	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.addition.disassociation
42	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
43	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
44	instantiation	54	⊢
	: , :
45	instantiation	81, 56, 55	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
47	instantiation	81, 56, 65	⊢
	: , : , :
48	instantiation	81, 56, 57	⊢
	: , : , :
49	instantiation	58	⊢
	:
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
51	instantiation	81, 59, 60	⊢
	: , : , :
52	instantiation	81, 61, 62	⊢
	: , : , :
53	instantiation	81, 77, 63	⊢
	: , : , :
54	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
55	instantiation	64, 65	⊢
	:
56	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
57	instantiation	81, 66, 67	⊢
	: , : , :
58	axiom		⊢
	proveit.logic.equality.equals_reflexivity
59	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
60	instantiation	81, 68, 69	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
62	instantiation	81, 70, 71	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
64	theorem		⊢
	proveit.numbers.negation.real_closure
65	instantiation	72, 73, 74	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
67	instantiation	81, 75, 76	⊢
	: , : , :
68	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
69	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
70	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
71	instantiation	81, 77, 78	⊢
	: , : , :
72	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
73	instantiation	79, 80	⊢
	: , :
74	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
75	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
76	instantiation	81, 82, 83	⊢
	: , : , :
77	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
78	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
79	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
80	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
81	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
82	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
83	instantiation	84, 85	⊢
	:
84	theorem		⊢
	proveit.numbers.negation.int_neg_closure
85	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
*equality replacement requirements