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	reference	18	⊢
2	instantiation	4, 41	⊢
	: , : , :
3	instantiation	5, 40, 47, 6, 7, 8*, 9*	⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
6	instantiation	59, 53, 10	⊢
	: , : , :
7	instantiation	11, 43	⊢
	:
8	instantiation	12, 40	⊢
	:
9	instantiation	18, 13, 14	⊢
	: , : , :
10	instantiation	59, 56, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
12	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
13	instantiation	16, 58, 61, 26, 17, 27, 39, 30, 29	⊢
	: , : , : , : , : , :
14	instantiation	18, 19, 20	⊢
	: , : , :
15	instantiation	21, 22, 23	⊢
	: , :
16	theorem		⊢
	proveit.numbers.addition.disassociation
17	instantiation	35	⊢
	: , :
18	axiom		⊢
	proveit.logic.equality.equals_transitivity
19	instantiation	24, 58, 26, 27, 39, 30, 29	⊢
	: , : , : , : , : , : , :
20	instantiation	25, 26, 61, 58, 27, 28, 39, 29, 30, 31*	⊢
	: , : , : , : , : , :
21	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
22	instantiation	59, 32, 46	⊢
	: , : , :
23	instantiation	59, 33, 34	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.addition.leftward_commutation
25	theorem		⊢
	proveit.numbers.addition.association
26	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
27	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28	instantiation	35	⊢
	: , :
29	instantiation	36, 40	⊢
	:
30	instantiation	59, 48, 37	⊢
	: , : , :
31	instantiation	38, 39, 40, 41	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
33	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
34	instantiation	42, 43	⊢
	:
35	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
36	theorem		⊢
	proveit.numbers.negation.complex_closure
37	instantiation	44, 45, 46	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
39	instantiation	59, 48, 47	⊢
	: , : , :
40	instantiation	59, 48, 49	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
42	theorem		⊢
	proveit.numbers.negation.int_neg_closure
43	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
44	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
45	instantiation	50, 51	⊢
	: , :
46	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
47	instantiation	59, 53, 52	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
49	instantiation	59, 53, 54	⊢
	: , : , :
50	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
52	instantiation	59, 56, 55	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
54	instantiation	59, 56, 57	⊢
	: , : , :
55	instantiation	59, 60, 58	⊢
	: , : , :
56	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
57	instantiation	59, 60, 61	⊢
	: , : , :
58	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
59	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
60	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
61	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements