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, 5, 6, 7, 8, 9	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.disassociation
2	reference	16	⊢
3	reference	56	⊢
4	reference	51	⊢
5	reference	17	⊢
6	instantiation	23	⊢
	: , :
7	instantiation	10, 11, 12	⊢
	: , : , :
8	reference	34	⊢
9	instantiation	54, 46, 13	⊢
	: , : , :
10	theorem		⊢
	proveit.logic.equality.sub_right_side_into
11	instantiation	21, 14, 19	⊢
	: , :
12	instantiation	15, 16, 56, 51, 17, 18, 44, 22, 19	⊢
	: , : , : , : , : , :
13	instantiation	54, 49, 20	⊢
	: , : , :
14	instantiation	21, 44, 22	⊢
	: , :
15	theorem		⊢
	proveit.numbers.multiplication.disassociation
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18	instantiation	23	⊢
	: , :
19	instantiation	54, 46, 24	⊢
	: , : , :
20	instantiation	54, 52, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
22	instantiation	26, 34, 27, 28	⊢
	: , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24	instantiation	29, 30, 31	⊢
	: , : , :
25	instantiation	32, 48	⊢
	:
26	theorem		⊢
	proveit.numbers.division.div_complex_closure
27	instantiation	33, 44, 34	⊢
	: , :
28	instantiation	35, 36, 37	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
30	instantiation	38, 39	⊢
	: , :
31	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
32	theorem		⊢
	proveit.numbers.negation.int_closure
33	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
34	instantiation	54, 46, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.equality.sub_left_side_into
36	instantiation	41, 42	⊢
	:
37	instantiation	43, 44	⊢
	:
38	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
40	instantiation	54, 49, 45	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
42	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
43	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
44	instantiation	54, 46, 47	⊢
	: , : , :
45	instantiation	54, 52, 48	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
47	instantiation	54, 49, 50	⊢
	: , : , :
48	instantiation	54, 55, 51	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
50	instantiation	54, 52, 53	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
52	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
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.nat2