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	⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5, 52, 47, 6, 7, 10, 8, 25	⊢
	: , : , : , : , : , :
3	instantiation	9, 25, 10, 11	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	12	⊢
	: , :
8	instantiation	50, 38, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
10	instantiation	14, 15, 16	⊢
	: , :
11	instantiation	17	⊢
	:
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13	instantiation	50, 43, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
15	instantiation	19, 25, 20, 21	⊢
	: , :
16	instantiation	50, 38, 22	⊢
	: , : , :
17	axiom		⊢
	proveit.logic.equality.equals_reflexivity
18	instantiation	50, 48, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.division.div_complex_closure
20	instantiation	24, 35, 25	⊢
	: , :
21	instantiation	26, 27, 28	⊢
	: , : , :
22	instantiation	50, 43, 29	⊢
	: , : , :
23	instantiation	30, 42	⊢
	:
24	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
25	instantiation	50, 38, 31	⊢
	: , : , :
26	theorem		⊢
	proveit.logic.equality.sub_left_side_into
27	instantiation	32, 33	⊢
	:
28	instantiation	34, 35	⊢
	:
29	instantiation	50, 48, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.negation.int_closure
31	instantiation	50, 43, 37	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
34	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
35	instantiation	50, 38, 39	⊢
	: , : , :
36	instantiation	40, 49, 41	⊢
	: , :
37	instantiation	50, 48, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
39	instantiation	50, 43, 44	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
41	instantiation	50, 45, 46	⊢
	: , : , :
42	instantiation	50, 51, 47	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
44	instantiation	50, 48, 49	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
46	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
48	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
49	instantiation	50, 51, 52	⊢
	: , : , :
50	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
51	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat2