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	20	⊢
2	instantiation	4, 5, 6, 42	, ,  ⊢
	: , : , :
3	instantiation	7, 8	, ,  ⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.exponentiation.pos_power_of_product
5	instantiation	45, 36, 9	⊢
	: , : , :
6	instantiation	45, 36, 10	⊢
	: , : , :
7	axiom		⊢
	proveit.logic.equality.substitution
8	instantiation	11, 14, 37, 40, 12, 13	, ,  ⊢
	: , : , : , :
9	instantiation	45, 41, 14	⊢
	: , : , :
10	instantiation	45, 43, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.exponentiation.exp_factored_real
12	instantiation	16, 37, 35	,  ⊢
	: , :
13	instantiation	17, 18	,  ⊢
	: , :
14	assumption		⊢
15	instantiation	45, 46, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
17	theorem		⊢
	proveit.logic.equality.equals_reversal
18	instantiation	20, 21, 22	,  ⊢
	: , : , :
19	assumption		⊢
20	axiom		⊢
	proveit.logic.equality.equals_transitivity
21	instantiation	23, 24, 25, 26, 27, 28, 31, 32, 29	,  ⊢
	: , : , : , : , : , :
22	instantiation	30, 31, 32, 33	,  ⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.disassociation
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
26	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
27	instantiation	34	⊢
	: , :
28	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
29	instantiation	45, 36, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
31	instantiation	45, 36, 40	⊢
	: , : , :
32	instantiation	45, 36, 37	⊢
	: , : , :
33	instantiation	38	⊢
	:
34	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
35	instantiation	39, 40	⊢
	:
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
37	instantiation	45, 41, 42	⊢
	: , : , :
38	axiom		⊢
	proveit.logic.equality.equals_reflexivity
39	theorem		⊢
	proveit.numbers.negation.real_closure
40	instantiation	45, 43, 44	⊢
	: , : , :
41	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
42	assumption		⊢
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
44	instantiation	45, 46, 47	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
47	assumption		⊢