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	,  ⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4, 5, 6	,  ⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.exponentiation.product_of_complex_powers
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
5	instantiation	9, 7, 8	⊢
	: , : , :
6	instantiation	9, 10, 11	⊢
	: , : , :
7	instantiation	31, 22, 12	⊢
	: , :
8	instantiation	16, 13, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.logic.equality.sub_right_side_into
10	instantiation	31, 22, 15	⊢
	: , :
11	instantiation	16, 17, 18	⊢
	: , : , :
12	instantiation	31, 28, 20	⊢
	: , :
13	instantiation	23, 21, 50, 24, 19, 25, 22, 28, 20	⊢
	: , : , : , : , : , :
14	instantiation	23, 24, 50, 25, 26, 19, 32, 33, 28, 20	⊢
	: , : , : , : , : , :
15	instantiation	31, 28, 29	⊢
	: , :
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	23, 21, 50, 24, 27, 25, 22, 28, 29	⊢
	: , : , : , : , : , :
18	instantiation	23, 24, 50, 25, 26, 27, 32, 33, 28, 29	⊢
	: , : , : , : , : , :
19	instantiation	34	⊢
	: , :
20	instantiation	48, 38, 30	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
22	instantiation	31, 32, 33	⊢
	: , :
23	theorem		⊢
	proveit.numbers.multiplication.disassociation
24	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
25	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
26	instantiation	34	⊢
	: , :
27	instantiation	34	⊢
	: , :
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
29	instantiation	48, 38, 35	⊢
	: , : , :
30	instantiation	48, 42, 36	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
32	instantiation	48, 38, 37	⊢
	: , : , :
33	instantiation	48, 38, 39	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
35	instantiation	48, 44, 40	⊢
	: , : , :
36	instantiation	48, 46, 41	⊢
	: , : , :
37	instantiation	48, 42, 43	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
39	instantiation	48, 44, 45	⊢
	: , : , :
40	assumption		⊢
41	assumption		⊢
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
43	instantiation	48, 46, 47	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
47	instantiation	48, 49, 50	⊢
	: , : , :
48	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
50	theorem		⊢
	proveit.numbers.numerals.decimals.nat2