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, 6, 7, 8, 9	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.association
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
3	reference	24	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	10	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	28, 29, 11	⊢
	: , : , :
8	instantiation	28, 29, 12	⊢
	: , : , :
9	instantiation	28, 29, 13	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	28, 14, 15	⊢
	: , : , :
12	instantiation	28, 17, 16	⊢
	: , : , :
13	instantiation	28, 17, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
15	instantiation	28, 19, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
18	instantiation	21, 22	⊢
	:
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
20	instantiation	28, 23, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
22	instantiation	25, 26, 27	⊢
	:
23	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
26	instantiation	28, 29, 30	⊢
	: , : , :
27	assumption		⊢
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	31, 32	⊢
	:
31	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
32	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int