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*	, , ,  ⊢
	: , : , :
1	theorem		⊢
	proveit.logic.equality.sub_right_side_into
2	instantiation	10, 69, 32, 5, 12, 6, 7, 60	, , ,  ⊢
	: , : , : , : , : , :
3	instantiation	8, 9, 33, 18, 45, 64, 46, 19	, , ,  ⊢
	: , : , :
4	instantiation	10, 51, 52, 69, 53, 11, 12, 13, 60, 14*	, , ,  ⊢
	: , : , : , : , : , :
5	instantiation	37	⊢
	: , : , :
6	instantiation	15, 18, 42	,  ⊢
	: , :
7	instantiation	15, 18, 43	,  ⊢
	: , :
8	theorem		⊢
	proveit.numbers.exponentiation.products_of_real_powers
9	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
10	theorem		⊢
	proveit.numbers.multiplication.association
11	instantiation	57	⊢
	: , :
12	instantiation	15, 18, 60	,  ⊢
	: , :
13	instantiation	15, 18, 16	, , ,  ⊢
	: , :
14	instantiation	17, 18, 64, 21, 19, 20*	, , ,  ⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
16	instantiation	67, 63, 21	, ,  ⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.exponentiation.product_of_real_powers
18	instantiation	67, 63, 22	⊢
	: , : , :
19	instantiation	23, 24	⊢
	:
20	instantiation	34, 25, 26	, ,  ⊢
	: , : , :
21	instantiation	27, 32, 33, 45, 64, 46	, ,  ⊢
	: , :
22	instantiation	67, 28, 30	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
24	instantiation	67, 29, 30	⊢
	: , : , :
25	instantiation	31, 69, 32, 51, 33, 53, 60, 42, 43	, ,  ⊢
	: , : , : , : , : , :
26	instantiation	34, 35, 36	, ,  ⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.addition.add_real_closure
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.addition.disassociation
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
33	instantiation	37	⊢
	: , : , :
34	axiom		⊢
	proveit.logic.equality.equals_transitivity
35	instantiation	38, 69, 60, 42, 43	, ,  ⊢
	: , : , : , : , : , : , :
36	instantiation	39, 51, 52, 53, 40, 41, 60, 42, 43, 44*	, ,  ⊢
	: , : , : , : , : , :
37	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
38	theorem		⊢
	proveit.numbers.addition.leftward_commutation
39	theorem		⊢
	proveit.numbers.addition.association
40	instantiation	57	⊢
	: , :
41	instantiation	57	⊢
	: , :
42	instantiation	67, 63, 45	⊢
	: , : , :
43	instantiation	67, 63, 46	⊢
	: , : , :
44	instantiation	47, 48, 49*	⊢
	: , :
45	assumption		⊢
46	assumption		⊢
47	theorem		⊢
	proveit.logic.equality.equals_reversal
48	instantiation	50, 51, 52, 69, 53, 54, 55, 60, 56*	⊢
	: , : , : , : , : , :
49	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
50	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
51	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
53	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
54	instantiation	57	⊢
	: , :
55	instantiation	67, 63, 58	⊢
	: , : , :
56	instantiation	59, 60	⊢
	:
57	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
58	instantiation	67, 61, 62	⊢
	: , : , :
59	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
60	instantiation	67, 63, 64	⊢
	: , : , :
61	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
62	instantiation	67, 65, 66	⊢
	: , : , :
63	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
64	assumption		⊢
65	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
66	instantiation	67, 68, 69	⊢
	: , : , :
67	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
68	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
69	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements