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, 10*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	reference	52	⊢
3	reference	57	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	11	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	12, 13, 14	⊢
	: , :
8	reference	25	⊢
9	reference	27	⊢
10	instantiation	15, 16, 17	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
13	instantiation	18, 27, 19, 20	⊢
	: , :
14	instantiation	26, 37, 21	⊢
	: , :
15	theorem		⊢
	proveit.logic.equality.sub_right_side_into
16	instantiation	22, 27, 37, 23	⊢
	: , : , :
17	instantiation	24, 27, 25	⊢
	: , :
18	theorem		⊢
	proveit.numbers.division.div_complex_closure
19	instantiation	26, 37, 27	⊢
	: , :
20	instantiation	28, 29, 30	⊢
	: , : , :
21	instantiation	55, 43, 31	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
23	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
24	theorem		⊢
	proveit.numbers.addition.commutation
25	instantiation	55, 43, 32	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
27	instantiation	55, 43, 33	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.equality.sub_left_side_into
29	instantiation	34, 35	⊢
	:
30	instantiation	36, 37	⊢
	:
31	instantiation	38, 39, 40	⊢
	: , : , :
32	instantiation	55, 49, 41	⊢
	: , : , :
33	instantiation	55, 49, 42	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
35	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
36	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
37	instantiation	55, 43, 44	⊢
	: , : , :
38	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
39	instantiation	45, 46	⊢
	: , :
40	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
41	instantiation	55, 53, 47	⊢
	: , : , :
42	instantiation	55, 53, 48	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
44	instantiation	55, 49, 50	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
47	instantiation	51, 54	⊢
	:
48	instantiation	55, 56, 52	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
50	instantiation	55, 53, 54	⊢
	: , : , :
51	theorem		⊢
	proveit.numbers.negation.int_closure
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
53	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
54	instantiation	55, 56, 57	⊢
	: , : , :
55	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements