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	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4, 5, 6, 7, 8, 9, 10, 11, 12	⊢
	: , : , : , : , : , :
3	theorem		⊢
	proveit.numbers.multiplication.disassociation
4	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	instantiation	13	⊢
	: , : , :
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	37, 38, 14	⊢
	: , : , :
10	instantiation	37, 38, 15	⊢
	: , : , :
11	instantiation	37, 38, 16	⊢
	: , : , :
12	instantiation	37, 38, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
14	instantiation	37, 18, 19	⊢
	: , : , :
15	instantiation	20, 21, 22	⊢
	: , : , :
16	instantiation	37, 24, 23	⊢
	: , : , :
17	instantiation	37, 24, 25	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	37, 26, 27	⊢
	: , : , :
20	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
21	instantiation	28, 29	⊢
	: , :
22	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
25	instantiation	30, 31	⊢
	:
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	37, 32, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
30	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
31	instantiation	34, 35, 36	⊢
	:
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
34	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
35	instantiation	37, 38, 39	⊢
	: , : , :
36	assumption		⊢
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
39	instantiation	40, 41	⊢
	:
40	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
41	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int