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*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
2	reference	23	⊢
3	instantiation	7, 44, 39	⊢
	: , :
4	reference	37	⊢
5	instantiation	8, 48	⊢
	:
6	instantiation	17, 9, 10	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
8	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
9	instantiation	11, 12	⊢
	: , : , :
10	instantiation	13, 14, 15, 16*	⊢
	: , :
11	axiom		⊢
	proveit.logic.equality.substitution
12	instantiation	17, 18, 19	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.neg_power_as_div
14	instantiation	60, 20, 21	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
16	instantiation	22, 23	⊢
	:
17	axiom		⊢
	proveit.logic.equality.equals_transitivity
18	instantiation	24, 25, 55, 62, 26, 27, 30, 31, 28	⊢
	: , : , : , : , : , :
19	instantiation	29, 30, 31, 32	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
21	instantiation	60, 33, 34	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
23	instantiation	60, 38, 35	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.addition.disassociation
25	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
26	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
27	instantiation	36	⊢
	: , :
28	instantiation	60, 38, 37	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
30	instantiation	60, 38, 44	⊢
	: , : , :
31	instantiation	60, 38, 39	⊢
	: , : , :
32	instantiation	40	⊢
	:
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
34	instantiation	60, 41, 42	⊢
	: , : , :
35	instantiation	60, 53, 43	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
37	instantiation	45, 44	⊢
	:
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
39	instantiation	45, 46	⊢
	:
40	axiom		⊢
	proveit.logic.equality.equals_reflexivity
41	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
42	instantiation	60, 47, 48	⊢
	: , : , :
43	instantiation	60, 58, 49	⊢
	: , : , :
44	instantiation	50, 51, 52	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.negation.real_closure
46	instantiation	60, 53, 54	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
48	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
49	instantiation	60, 61, 55	⊢
	: , : , :
50	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
51	instantiation	56, 57	⊢
	: , :
52	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
53	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
54	instantiation	60, 58, 59	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
56	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
58	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
59	instantiation	60, 61, 62	⊢
	: , : , :
60	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
61	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
62	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements