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