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.four_chain_transitivity
2	instantiation	17, 5	, ,  ⊢
	: , : , :
3	instantiation	17, 6	, , ,  ⊢
	: , : , :
4	instantiation	19, 7	, , , , ,  ⊢
	: , :
5	instantiation	19, 8	, ,  ⊢
	: , :
6	instantiation	9, 10, 11	, , ,  ⊢
	: , : , :
7	instantiation	12, 13, 14, 33, 15, 16	, , , , ,  ⊢
	: , : , :
8	instantiation	28, 22, 23, 24	, ,  ⊢
	: , :
9	axiom		⊢
	proveit.logic.equality.equals_transitivity
10	instantiation	17, 18	,  ⊢
	: , : , :
11	instantiation	19, 20	, , ,  ⊢
	: , :
12	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_product
13	instantiation	21, 22, 23	⊢
	: , :
14	instantiation	21, 29, 30	,  ⊢
	: , :
15	instantiation	25, 22, 23, 24	,  ⊢
	: , :
16	instantiation	25, 29, 30, 31	, ,  ⊢
	: , :
17	axiom		⊢
	proveit.logic.equality.substitution
18	instantiation	26, 27, 30	,  ⊢
	: , :
19	theorem		⊢
	proveit.logic.equality.equals_reversal
20	instantiation	28, 29, 30, 31	, , ,  ⊢
	: , :
21	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
22	instantiation	42, 36, 32	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.exponentiation.exp_not_eq_zero
26	theorem		⊢
	proveit.numbers.multiplication.commutation
27	instantiation	42, 36, 33	⊢
	: , : , :
28	instantiation	34, 41	⊢
	:
29	instantiation	42, 36, 35	⊢
	: , : , :
30	instantiation	42, 36, 37	⊢
	: , : , :
31	assumption		⊢
32	assumption		⊢
33	instantiation	42, 39, 38	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.exponentiation.int_exp_of_exp
35	assumption		⊢
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
37	instantiation	42, 39, 40	⊢
	: , : , :
38	instantiation	42, 43, 41	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
40	instantiation	42, 43, 44	⊢
	: , : , :
41	assumption		⊢
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	assumption		⊢