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