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, 7*	, ,  ⊢
	: , :
1	theorem		⊢
	proveit.numbers.absolute_value.abs_prod
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
3	instantiation	30	⊢
	: , : , :
4	reference	27	⊢
5	instantiation	8, 9, 10	⊢
	: , :
6	reference	28	⊢
7	instantiation	11, 12, 13	, ,  ⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
9	instantiation	42, 37, 14	⊢
	: , : , :
10	instantiation	15, 16, 17	⊢
	: , :
11	axiom		⊢
	proveit.logic.equality.equals_transitivity
12	instantiation	18, 19, 20, 21, 22, 23, 24	, ,  ⊢
	: , : , : , :
13	instantiation	25, 26, 27, 28	,  ⊢
	: , : , : , :
14	instantiation	42, 43, 29	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
17	instantiation	42, 37, 33	⊢
	: , : , :
18	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
20	instantiation	30	⊢
	: , : , :
21	instantiation	30	⊢
	: , : , :
22	instantiation	34, 31	⊢
	:
23	instantiation	32, 33	⊢
	:
24	instantiation	34, 35	⊢
	:
25	theorem		⊢
	proveit.numbers.multiplication.elim_one_any
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
27	instantiation	42, 37, 36	⊢
	: , : , :
28	instantiation	42, 37, 38	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
30	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
31	instantiation	40, 39	⊢
	: , :
32	theorem		⊢
	proveit.numbers.absolute_value.complex_unit_length
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
35	instantiation	40, 41	⊢
	: , :
36	instantiation	42, 43, 44	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
38	instantiation	42, 43, 46	⊢
	: , : , :
39	instantiation	45, 44	⊢
	:
40	theorem		⊢
	proveit.numbers.ordering.relax_less
41	instantiation	45, 46	⊢
	:
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
44	assumption		⊢
45	theorem		⊢
	proveit.numbers.number_sets.real_numbers.positive_if_in_real_pos
46	assumption		⊢
*equality replacement requirements