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.disassociation
2	reference	44	⊢
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	11	⊢
	: , : , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	45, 25, 12	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
9	instantiation	13, 14, 15	,  ⊢
	: , :
10	instantiation	45, 25, 16	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
12	instantiation	17, 19, 18	⊢
	: , :
13	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
14	instantiation	45, 25, 19	⊢
	: , : , :
15	instantiation	20, 21	,  ⊢
	:
16	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
17	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
18	instantiation	45, 22, 23	⊢
	: , : , :
19	instantiation	45, 28, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.negation.complex_closure
21	instantiation	45, 25, 26	,  ⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
24	instantiation	45, 31, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	45, 28, 29	,  ⊢
	: , : , :
27	instantiation	45, 43, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
29	instantiation	45, 31, 32	,  ⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
31	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
32	instantiation	45, 33, 34	,  ⊢
	: , : , :
33	instantiation	35, 36, 37	⊢
	: , :
34	assumption		⊢
35	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
36	instantiation	38, 39, 40	⊢
	: , :
37	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
38	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
39	instantiation	41, 42	⊢
	:
40	instantiation	45, 43, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.negation.int_closure
42	instantiation	45, 46, 47	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
47	assumption		⊢