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	49	⊢
4	reference	44	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10	⊢
	: , :
7	instantiation	11, 12, 13	⊢
	: , :
8	instantiation	47, 35, 14	⊢
	: , : , :
9	reference	21	⊢
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
12	instantiation	15, 21, 16, 17	⊢
	: , :
13	instantiation	47, 35, 18	⊢
	: , : , :
14	instantiation	47, 40, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.division.div_complex_closure
16	instantiation	20, 31, 21	⊢
	: , :
17	instantiation	22, 23, 24	⊢
	: , : , :
18	instantiation	47, 40, 25	⊢
	: , : , :
19	instantiation	47, 45, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
21	instantiation	47, 35, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.logic.equality.sub_left_side_into
23	instantiation	28, 29	⊢
	:
24	instantiation	30, 31	⊢
	:
25	instantiation	47, 45, 32	⊢
	: , : , :
26	instantiation	33, 39	⊢
	:
27	instantiation	47, 40, 34	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
30	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
31	instantiation	47, 35, 36	⊢
	: , : , :
32	instantiation	37, 46, 38	⊢
	: , :
33	theorem		⊢
	proveit.numbers.negation.int_closure
34	instantiation	47, 45, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
36	instantiation	47, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
38	instantiation	47, 42, 43	⊢
	: , : , :
39	instantiation	47, 48, 44	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
41	instantiation	47, 45, 46	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
43	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
46	instantiation	47, 48, 49	⊢
	: , : , :
47	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat2