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