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	⊢
	:
1	theorem		⊢
	proveit.numbers.negation.complex_closure
2	instantiation	3, 4, 5	⊢
	: , : , :
3	theorem		⊢
	proveit.logic.equality.sub_right_side_into
4	instantiation	43, 25, 6	⊢
	: , : , :
5	instantiation	7, 8, 9	⊢
	: , : , :
6	instantiation	27, 22, 10	⊢
	: , :
7	axiom		⊢
	proveit.logic.equality.equals_transitivity
8	instantiation	13, 11, 45, 14, 17, 15, 12, 20, 21	⊢
	: , : , : , : , : , :
9	instantiation	13, 14, 45, 15, 16, 17, 18, 19, 20, 21	⊢
	: , : , : , : , : , :
10	instantiation	27, 24, 26	⊢
	: , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
12	instantiation	43, 25, 22	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.disassociation
14	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	instantiation	23	⊢
	: , :
17	instantiation	23	⊢
	: , :
18	instantiation	43, 25, 28	⊢
	: , : , :
19	instantiation	43, 25, 29	⊢
	: , : , :
20	instantiation	43, 25, 24	⊢
	: , : , :
21	instantiation	43, 25, 26	⊢
	: , : , :
22	instantiation	27, 28, 29	⊢
	: , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24	instantiation	30, 31	⊢
	:
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	32, 33, 34	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
28	instantiation	43, 35, 36	⊢
	: , : , :
29	instantiation	43, 37, 38	⊢
	: , : , :
30	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
31	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
32	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
33	instantiation	39, 40	⊢
	: , :
34	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
36	instantiation	43, 41, 42	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
39	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
42	instantiation	43, 44, 45	⊢
	: , : , :
43	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
44	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2