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	54, 29, 8	⊢
	: , : , :
4	instantiation	9, 51	⊢
	:
5	theorem		⊢
	proveit.logic.equality.sub_right_side_into
6	instantiation	23, 15, 10	⊢
	: , :
7	instantiation	11, 12, 13	⊢
	: , : , :
8	instantiation	54, 32, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
10	instantiation	23, 21, 22	⊢
	: , :
11	axiom		⊢
	proveit.logic.equality.equals_transitivity
12	instantiation	16, 56, 41, 17, 20, 18, 15, 21, 22	⊢
	: , : , : , : , : , :
13	instantiation	16, 17, 41, 18, 19, 20, 24, 25, 21, 22	⊢
	: , : , : , : , : , :
14	instantiation	54, 37, 48	⊢
	: , : , :
15	instantiation	23, 24, 25	⊢
	: , :
16	theorem		⊢
	proveit.numbers.multiplication.disassociation
17	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	26	⊢
	: , :
20	instantiation	26	⊢
	: , :
21	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
22	instantiation	54, 29, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
24	instantiation	54, 29, 28	⊢
	: , : , :
25	instantiation	54, 29, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27	instantiation	54, 32, 31	⊢
	: , : , :
28	instantiation	54, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	54, 34, 35	⊢
	: , : , :
31	instantiation	54, 37, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	54, 37, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
36	instantiation	54, 39, 40	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	54, 55, 41	⊢
	: , : , :
39	instantiation	42, 43, 44	⊢
	: , :
40	instantiation	45, 46, 51	⊢
	: , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
42	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
43	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
44	instantiation	47, 48, 49	⊢
	: , :
45	theorem		⊢
	proveit.numbers.modular.mod_natpos_in_interval
46	assumption		⊢
47	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
48	instantiation	54, 50, 51	⊢
	: , : , :
49	instantiation	52, 53	⊢
	:
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
51	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
52	theorem		⊢
	proveit.numbers.negation.int_closure
53	instantiation	54, 55, 56	⊢
	: , : , :
54	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat1