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	4, 12, 5, 6, 7, 8, 9	⊢
	: , : , : , :
3	instantiation	10, 11, 12, 13, 14, 15, 16, 17, 18	⊢
	: , : , : , : , : , : , :
4	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
5	instantiation	23	⊢
	: , : , :
6	instantiation	23	⊢
	: , : , :
7	instantiation	21, 19	⊢
	:
8	instantiation	21, 20	⊢
	:
9	instantiation	21, 22	⊢
	:
10	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
11	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14	instantiation	23	⊢
	: , : , :
15	instantiation	53, 54, 24	⊢
	: , : , :
16	instantiation	53, 54, 25	⊢
	: , : , :
17	instantiation	53, 54, 26	⊢
	: , : , :
18	instantiation	53, 54, 27	⊢
	: , : , :
19	instantiation	28, 49	⊢
	:
20	instantiation	30, 29	⊢
	: , :
21	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
22	instantiation	30, 31	⊢
	: , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
24	instantiation	53, 32, 33	⊢
	: , : , :
25	instantiation	53, 34, 39	⊢
	: , : , :
26	instantiation	53, 34, 35	⊢
	: , : , :
27	instantiation	36, 37, 41	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_lower_bound
29	instantiation	38, 39	⊢
	:
30	theorem		⊢
	proveit.numbers.ordering.relax_less
31	instantiation	40, 41	⊢
	:
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	53, 42, 43	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
35	instantiation	44, 45	⊢
	:
36	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
37	instantiation	46, 47	⊢
	: , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
40	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
41	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
42	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
43	instantiation	53, 48, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.absolute_value.abs_nonzero_closure
45	instantiation	50, 51, 52	⊢
	:
46	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
47	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
50	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.nonzero_complex_is_complex_nonzero
51	instantiation	53, 54, 55	⊢
	: , : , :
52	assumption		⊢
53	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
54	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
55	instantiation	56, 57	⊢
	:
56	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
57	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int