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, 51, 56, 5, 6, 7, 27, 10, 8	⊢
	: , : , : , : , : , :
3	instantiation	9, 27, 10, 11	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.addition.disassociation
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	instantiation	12	⊢
	: , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	54, 46, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
10	instantiation	14, 15, 16	⊢
	: , :
11	instantiation	17	⊢
	:
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13	instantiation	54, 18, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
15	instantiation	20, 27, 21, 22	⊢
	: , :
16	instantiation	54, 46, 23	⊢
	: , : , :
17	axiom		⊢
	proveit.logic.equality.equals_reflexivity
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
19	instantiation	54, 24, 25	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.division.div_complex_closure
21	instantiation	26, 40, 27	⊢
	: , :
22	instantiation	28, 29, 30	⊢
	: , : , :
23	instantiation	31, 32, 33	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_neg_within_real_neg
25	instantiation	54, 34, 35	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
27	instantiation	54, 46, 36	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.equality.sub_left_side_into
29	instantiation	37, 38	⊢
	:
30	instantiation	39, 40	⊢
	:
31	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
32	instantiation	41, 42	⊢
	: , :
33	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_is_nat_pos
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.neg_int_within_rational_neg
35	instantiation	43, 44	⊢
	:
36	instantiation	54, 49, 45	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
38	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
39	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
40	instantiation	54, 46, 47	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
43	theorem		⊢
	proveit.numbers.negation.int_neg_closure
44	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
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