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	⊢
	: , :
1	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 17, 49, 16, 4, 18, 5, 6, 7	⊢
	: , : , : , : , : , :
3	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
4	instantiation	28	⊢
	: , :
5	instantiation	8, 9, 10	⊢
	: , : , :
6	instantiation	47, 33, 11	⊢
	: , : , :
7	instantiation	12, 13	⊢
	:
8	theorem		⊢
	proveit.logic.equality.sub_right_side_into
9	instantiation	25, 14, 20	⊢
	: , :
10	instantiation	15, 16, 49, 17, 18, 19, 26, 27, 20	⊢
	: , : , : , : , : , :
11	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
12	theorem		⊢
	proveit.numbers.negation.complex_closure
13	instantiation	21, 22, 23, 24	⊢
	: , :
14	instantiation	25, 26, 27	⊢
	: , :
15	theorem		⊢
	proveit.numbers.multiplication.disassociation
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	28	⊢
	: , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
21	theorem		⊢
	proveit.numbers.division.div_complex_closure
22	instantiation	47, 33, 29	⊢
	: , : , :
23	instantiation	47, 33, 30	⊢
	: , : , :
24	instantiation	31, 46	⊢
	:
25	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
26	instantiation	47, 33, 32	⊢
	: , : , :
27	instantiation	47, 33, 34	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
29	instantiation	47, 37, 35	⊢
	: , : , :
30	instantiation	47, 37, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
32	instantiation	47, 37, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
34	instantiation	47, 39, 40	⊢
	: , : , :
35	instantiation	47, 43, 41	⊢
	: , : , :
36	instantiation	47, 43, 42	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
38	instantiation	47, 43, 44	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
41	assumption		⊢
42	instantiation	47, 45, 46	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	instantiation	47, 48, 49	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
46	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
47	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat2