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, 49, 7, 6, 10, 8, 4, 12, 13, 14	,  ⊢
	: , : , : , : , : , :
3	instantiation	5, 6, 35, 7, 8, 9, 10, 19, 11, 12, 13, 14	,  ⊢
	: , : , : , : , : , :
4	instantiation	50, 30, 15	⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.multiplication.disassociation
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	16	⊢
	: , :
10	instantiation	17	⊢
	: , : , :
11	instantiation	50, 30, 23	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
13	instantiation	18, 19, 20	,  ⊢
	: , :
14	instantiation	50, 30, 21	⊢
	: , : , :
15	instantiation	22, 24, 23	⊢
	: , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
18	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
19	instantiation	50, 30, 24	⊢
	: , : , :
20	instantiation	25, 26	,  ⊢
	:
21	theorem		⊢
	proveit.physics.quantum.QPE._phase_is_real
22	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
23	instantiation	50, 27, 28	⊢
	: , : , :
24	instantiation	50, 33, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.negation.complex_closure
26	instantiation	50, 30, 31	,  ⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
29	instantiation	50, 36, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	50, 33, 34	,  ⊢
	: , : , :
32	instantiation	50, 48, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	50, 36, 37	,  ⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	50, 38, 39	,  ⊢
	: , : , :
38	instantiation	40, 41, 42	⊢
	: , :
39	assumption		⊢
40	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
41	instantiation	43, 44, 45	⊢
	: , :
42	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
43	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
44	instantiation	46, 47	⊢
	:
45	instantiation	50, 48, 49	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.negation.int_closure
47	instantiation	50, 51, 52	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
50	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
52	assumption		⊢