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