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.exp_factored_real
2	instantiation	52, 8, 9	⊢
	: , : , :
3	reference	37	⊢
4	reference	41	⊢
5	instantiation	10, 37, 11	⊢
	: , :
6	instantiation	12, 13	⊢
	: , :
7	instantiation	14, 15	⊢
	:
8	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_pos_within_real_pos
9	instantiation	52, 16, 17	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
11	instantiation	52, 46, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.equality.equals_reversal
13	instantiation	19, 20, 21	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
15	instantiation	52, 40, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
18	instantiation	52, 50, 23	⊢
	: , : , :
19	axiom		⊢
	proveit.logic.equality.equals_transitivity
20	instantiation	24, 54, 45, 25, 26, 27, 36, 30, 28	⊢
	: , : , : , : , : , :
21	instantiation	29, 36, 30, 31	⊢
	: , : , :
22	instantiation	52, 46, 32	⊢
	: , : , :
23	instantiation	33, 51	⊢
	:
24	theorem		⊢
	proveit.numbers.addition.disassociation
25	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
26	instantiation	34	⊢
	: , :
27	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
28	instantiation	35, 36	⊢
	:
29	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_13
30	instantiation	52, 40, 37	⊢
	: , : , :
31	instantiation	38	⊢
	:
32	instantiation	52, 50, 39	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.negation.int_closure
34	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
35	theorem		⊢
	proveit.numbers.negation.complex_closure
36	instantiation	52, 40, 41	⊢
	: , : , :
37	instantiation	42, 43, 44	⊢
	: , : , :
38	axiom		⊢
	proveit.logic.equality.equals_reflexivity
39	instantiation	52, 53, 45	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
41	instantiation	52, 46, 47	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
43	instantiation	48, 49	⊢
	: , :
44	assumption		⊢
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
47	instantiation	52, 50, 51	⊢
	: , : , :
48	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
51	instantiation	52, 53, 54	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements