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, 8, 9, 10*	, , ,  ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.association
2	reference	47	⊢
3	reference	48	⊢
4	reference	65	⊢
5	reference	49	⊢
6	instantiation	53	⊢
	: , :
7	instantiation	11, 14, 56	,  ⊢
	: , :
8	instantiation	11, 14, 12	, , ,  ⊢
	: , :
9	reference	56	⊢
10	instantiation	13, 14, 60, 17, 15, 16*	, , ,  ⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
12	instantiation	63, 59, 17	, ,  ⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
14	instantiation	63, 59, 18	⊢
	: , : , :
15	instantiation	19, 20	⊢
	:
16	instantiation	30, 21, 22	, ,  ⊢
	: , : , :
17	instantiation	23, 28, 29, 41, 60, 42	, ,  ⊢
	: , :
18	instantiation	63, 24, 26	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
20	instantiation	63, 25, 26	⊢
	: , : , :
21	instantiation	27, 65, 28, 47, 29, 49, 56, 38, 39	, ,  ⊢
	: , : , : , : , : , :
22	instantiation	30, 31, 32	, ,  ⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.add_real_closure
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.addition.disassociation
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
29	instantiation	33	⊢
	: , : , :
30	axiom		⊢
	proveit.logic.equality.equals_transitivity
31	instantiation	34, 65, 56, 38, 39	, ,  ⊢
	: , : , : , : , : , : , :
32	instantiation	35, 47, 48, 49, 36, 37, 56, 38, 39, 40*	, ,  ⊢
	: , : , : , : , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
34	theorem		⊢
	proveit.numbers.addition.leftward_commutation
35	theorem		⊢
	proveit.numbers.addition.association
36	instantiation	53	⊢
	: , :
37	instantiation	53	⊢
	: , :
38	instantiation	63, 59, 41	⊢
	: , : , :
39	instantiation	63, 59, 42	⊢
	: , : , :
40	instantiation	43, 44, 45*	⊢
	: , :
41	assumption		⊢
42	assumption		⊢
43	theorem		⊢
	proveit.logic.equality.equals_reversal
44	instantiation	46, 47, 48, 65, 49, 50, 51, 56, 52*	⊢
	: , : , : , : , : , :
45	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
46	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
47	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
49	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
50	instantiation	53	⊢
	: , :
51	instantiation	63, 59, 54	⊢
	: , : , :
52	instantiation	55, 56	⊢
	:
53	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
54	instantiation	63, 57, 58	⊢
	: , : , :
55	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
56	instantiation	63, 59, 60	⊢
	: , : , :
57	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
58	instantiation	63, 61, 62	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
60	assumption		⊢
61	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
62	instantiation	63, 64, 65	⊢
	: , : , :
63	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
64	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
65	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements