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, 10*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.association
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
4	reference	51	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	11	⊢
	: , :
7	reference	33	⊢
8	instantiation	12, 33, 13	⊢
	: , :
9	instantiation	49, 40, 14	⊢
	: , : , :
10	instantiation	15, 33, 41, 19, 16, 17*, 18*	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
13	instantiation	49, 40, 19	⊢
	: , : , :
14	instantiation	20, 21	⊢
	:
15	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
16	instantiation	22, 23	⊢
	:
17	instantiation	24, 33	⊢
	:
18	instantiation	25, 26, 27	⊢
	: , : , :
19	instantiation	49, 45, 28	⊢
	: , : , :
20	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
21	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
23	instantiation	49, 29, 44	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
25	axiom		⊢
	proveit.logic.equality.equals_transitivity
26	instantiation	30, 31	⊢
	: , : , :
27	instantiation	32, 33	⊢
	:
28	instantiation	49, 47, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
30	axiom		⊢
	proveit.logic.equality.substitution
31	instantiation	35, 36, 37	⊢
	: , :
32	theorem		⊢
	proveit.numbers.exponentiation.exp_zero_eq_one
33	instantiation	49, 40, 38	⊢
	: , : , :
34	instantiation	39, 48	⊢
	:
35	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_basic
36	instantiation	49, 40, 41	⊢
	: , : , :
37	instantiation	42	⊢
	:
38	instantiation	49, 43, 44	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.negation.int_closure
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
41	instantiation	49, 45, 46	⊢
	: , : , :
42	axiom		⊢
	proveit.logic.equality.equals_reflexivity
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
46	instantiation	49, 47, 48	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
48	instantiation	49, 50, 51	⊢
	: , : , :
49	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements