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