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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	5, 59, 39, 6, 9, 7, 4, 12, 13	⊢
	: , : , : , : , : , :
3	instantiation	5, 6, 39, 7, 8, 9, 10, 11, 12, 13	⊢
	: , : , : , : , : , :
4	instantiation	60, 36, 14	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.multiplication.disassociation
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	15	⊢
	: , :
9	instantiation	15	⊢
	: , :
10	instantiation	60, 36, 20	⊢
	: , : , :
11	instantiation	60, 36, 21	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
13	instantiation	16, 17, 18	⊢
	: , :
14	instantiation	19, 20, 21	⊢
	: , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
17	instantiation	60, 36, 22	⊢
	: , : , :
18	instantiation	23, 24	⊢
	:
19	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
20	instantiation	60, 40, 25	⊢
	: , : , :
21	instantiation	60, 26, 27	⊢
	: , : , :
22	instantiation	28, 29	⊢
	:
23	theorem		⊢
	proveit.numbers.negation.complex_closure
24	instantiation	30, 31, 32, 33	⊢
	: , :
25	instantiation	60, 45, 34	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
28	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
29	theorem		⊢
	proveit.physics.quantum.QPE._best_floor_is_int
30	theorem		⊢
	proveit.numbers.division.div_complex_closure
31	instantiation	60, 36, 35	⊢
	: , : , :
32	instantiation	60, 36, 37	⊢
	: , : , :
33	instantiation	38, 44	⊢
	:
34	instantiation	60, 58, 39	⊢
	: , : , :
35	instantiation	60, 40, 41	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
37	instantiation	42, 43, 44	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
41	instantiation	60, 45, 46	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
43	instantiation	47, 48	⊢
	: , :
44	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
46	instantiation	60, 49, 50	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
49	instantiation	51, 52, 57	⊢
	: , :
50	assumption		⊢
51	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
52	instantiation	53, 54, 55	⊢
	: , :
53	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
54	instantiation	56, 57	⊢
	:
55	instantiation	60, 58, 59	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.negation.int_closure
57	instantiation	60, 61, 62	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
59	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
60	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
62	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos