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	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.disassociation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	29	⊢
4	reference	39	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
8	instantiation	11, 12, 13	⊢
	: , :
9	instantiation	37, 16, 14	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
12	instantiation	37, 16, 15	⊢
	: , : , :
13	instantiation	37, 16, 17	⊢
	: , : , :
14	instantiation	18, 19, 20, 21	⊢
	: , : , :
15	instantiation	37, 24, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	37, 24, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
20	instantiation	37, 24, 25	⊢
	: , : , :
21	axiom		⊢
	proveit.physics.quantum.QPE._phase_in_interval
22	instantiation	37, 28, 26	⊢
	: , : , :
23	instantiation	37, 28, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	37, 28, 36	⊢
	: , : , :
26	instantiation	37, 38, 29	⊢
	: , : , :
27	instantiation	30, 31, 32	⊢
	: , :
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
30	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
31	instantiation	37, 33, 34	⊢
	: , : , :
32	instantiation	35, 36	⊢
	:
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
34	assumption		⊢
35	theorem		⊢
	proveit.numbers.negation.int_closure
36	instantiation	37, 38, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1