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*	⊢
	: , : , :
1	theorem		⊢
	proveit.numbers.exponentiation.posnat_power_of_product
2	reference	39	⊢
3	instantiation	7, 14, 8	⊢
	: , :
4	reference	19	⊢
5	instantiation	9, 10, 11, 12	⊢
	: , : , : , :
6	instantiation	13, 14, 17, 43, 15, 16*	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
8	instantiation	51, 42, 17	⊢
	: , : , :
9	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
10	instantiation	18, 19, 39	⊢
	: , :
11	instantiation	20, 53, 21, 22, 23	⊢
	: , : , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.mult_2_2
13	theorem		⊢
	proveit.numbers.exponentiation.real_power_of_real_power
14	instantiation	51, 42, 24	⊢
	: , : , :
15	instantiation	25, 26	⊢
	:
16	instantiation	27, 28, 39, 29*	⊢
	: , :
17	instantiation	51, 46, 30	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.exponentiation.exp_nat_pos_expansion
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
20	theorem		⊢
	proveit.core_expr_types.operations.operands_substitution_via_tuple
21	instantiation	31, 53	⊢
	: , :
22	instantiation	32	⊢
	: , :
23	instantiation	33	⊢
	:
24	instantiation	51, 34, 36	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonzero_if_in_real_nonzero
26	instantiation	51, 35, 36	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.multiplication.mult_neg_left
28	instantiation	51, 42, 37	⊢
	: , : , :
29	instantiation	38, 39	⊢
	:
30	instantiation	51, 49, 40	⊢
	: , : , :
31	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
33	theorem		⊢
	proveit.numbers.numerals.decimals.reduce_2_repeats
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonzero
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
37	instantiation	51, 46, 41	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
39	instantiation	51, 42, 43	⊢
	: , : , :
40	instantiation	44, 45	⊢
	:
41	instantiation	51, 49, 45	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
43	instantiation	51, 46, 47	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.negation.int_closure
45	instantiation	51, 52, 48	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
47	instantiation	51, 49, 50	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
49	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
50	instantiation	51, 52, 53	⊢
	: , : , :
51	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements