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	⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.equals_transitivity
4	instantiation	6, 9, 8, 11, 13, 12, 14	⊢
	: , : , : , : , : , : , :
5	instantiation	7, 8, 33, 9, 10, 11, 12, 13, 14	⊢
	: , : , : , : , : , :
6	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
7	theorem		⊢
	proveit.numbers.multiplication.association
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	instantiation	15	⊢
	: , :
11	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12	instantiation	37, 38, 16	⊢
	: , : , :
13	instantiation	37, 38, 17	⊢
	: , : , :
14	instantiation	37, 38, 18	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	instantiation	19, 20, 21	⊢
	: , : , :
17	instantiation	37, 22, 23	⊢
	: , : , :
18	instantiation	37, 24, 25	⊢
	: , : , :
19	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
20	instantiation	26, 27	⊢
	: , :
21	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	37, 28, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
25	instantiation	30, 31	⊢
	:
26	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
29	instantiation	37, 32, 33	⊢
	: , : , :
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