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