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	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
2	instantiation	53, 38, 4	⊢
	: , : , :
3	instantiation	12, 5, 6	⊢
	: , : , :
4	instantiation	53, 45, 7	⊢
	: , : , :
5	instantiation	30, 15, 8	⊢
	: , :
6	instantiation	9, 10, 11	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
8	instantiation	12, 13, 14	⊢
	: , : , :
9	axiom		⊢
	proveit.logic.equality.equals_transitivity
10	instantiation	22, 24, 16, 23, 18, 25, 15, 31, 32, 27	⊢
	: , : , : , : , : , :
11	instantiation	22, 23, 55, 16, 25, 17, 18, 19, 20, 31, 32, 27	⊢
	: , : , : , : , : , :
12	theorem		⊢
	proveit.logic.equality.sub_right_side_into
13	instantiation	30, 21, 27	⊢
	: , :
14	instantiation	22, 23, 55, 24, 25, 26, 31, 32, 27	⊢
	: , : , : , : , : , :
15	instantiation	53, 38, 28	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
17	instantiation	33	⊢
	: , :
18	instantiation	29	⊢
	: , : , :
19	instantiation	53, 38, 36	⊢
	: , : , :
20	instantiation	53, 38, 37	⊢
	: , : , :
21	instantiation	30, 31, 32	⊢
	: , :
22	theorem		⊢
	proveit.numbers.multiplication.disassociation
23	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
25	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
26	instantiation	33	⊢
	: , :
27	instantiation	53, 38, 34	⊢
	: , : , :
28	instantiation	35, 36, 37	⊢
	: , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
30	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
31	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
32	instantiation	53, 38, 39	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
34	instantiation	40, 41, 42	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
36	instantiation	53, 43, 44	⊢
	: , : , :
37	instantiation	53, 45, 46	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
39	instantiation	47, 48	⊢
	:
40	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
41	instantiation	49, 50	⊢
	: , :
42	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
44	instantiation	53, 51, 52	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
47	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_is_real
48	theorem		⊢
	proveit.physics.quantum.QPE._best_round_is_int
49	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
51	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
52	instantiation	53, 54, 55	⊢
	: , : , :
53	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
54	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
55	theorem		⊢
	proveit.numbers.numerals.decimals.nat2