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