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	24	⊢
2	instantiation	24, 4, 5	, ,  ⊢
	: , : , :
3	instantiation	7, 6	,  ⊢
	: , : , :
4	instantiation	7, 8	,  ⊢
	: , : , :
5	instantiation	9, 15, 21, 50	, ,  ⊢
	: , : , :
6	instantiation	10, 39, 45, 11, 48, 12, 13*	,  ⊢
	: , : , : , :
7	axiom		⊢
	proveit.logic.equality.substitution
8	instantiation	14, 21, 15	,  ⊢
	: , :
9	theorem		⊢
	proveit.numbers.exponentiation.pos_power_of_product
10	theorem		⊢
	proveit.numbers.exponentiation.exp_factored_real
11	instantiation	16, 45, 17	⊢
	: , :
12	instantiation	18, 19	⊢
	: , :
13	instantiation	20, 21	⊢
	:
14	theorem		⊢
	proveit.numbers.multiplication.commutation
15	instantiation	55, 47, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
17	instantiation	55, 51, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.logic.equality.equals_reversal
19	instantiation	24, 25, 26	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
21	instantiation	55, 47, 27	⊢
	: , : , :
22	instantiation	55, 51, 28	⊢
	: , : , :
23	instantiation	55, 53, 29	⊢
	: , : , :
24	axiom		⊢
	proveit.logic.equality.equals_transitivity
25	instantiation	30, 31, 32, 57, 33, 34, 37, 35, 44	⊢
	: , : , : , : , : , :
26	instantiation	36, 44, 37, 38	⊢
	: , : , :
27	instantiation	55, 49, 39	⊢
	: , : , :
28	instantiation	55, 53, 40	⊢
	: , : , :
29	instantiation	41, 54	⊢
	:
30	theorem		⊢
	proveit.numbers.addition.disassociation
31	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
33	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
34	instantiation	42	⊢
	: , :
35	instantiation	43, 44	⊢
	:
36	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
37	instantiation	55, 47, 45	⊢
	: , : , :
38	instantiation	46	⊢
	:
39	assumption		⊢
40	assumption		⊢
41	theorem		⊢
	proveit.numbers.negation.int_closure
42	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
43	theorem		⊢
	proveit.numbers.negation.complex_closure
44	instantiation	55, 47, 48	⊢
	: , : , :
45	instantiation	55, 49, 50	⊢
	: , : , :
46	axiom		⊢
	proveit.logic.equality.equals_reflexivity
47	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
48	instantiation	55, 51, 52	⊢
	: , : , :
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
50	assumption		⊢
51	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
52	instantiation	55, 53, 54	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
54	instantiation	55, 56, 57	⊢
	: , : , :
55	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
56	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
57	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements