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.absolute_value.abs_prod
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
3	instantiation	27	⊢
	: , :
4	reference	24	⊢
5	instantiation	7, 8, 9	⊢
	: , :
6	instantiation	10, 11, 12	,  ⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
8	instantiation	35, 32, 13	⊢
	: , : , :
9	instantiation	14, 15, 16	⊢
	: , :
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	17, 18, 19, 20, 21, 22	,  ⊢
	: , : , : , :
12	instantiation	23, 24	⊢
	:
13	instantiation	35, 25, 26	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
15	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
16	instantiation	35, 32, 31	⊢
	: , : , :
17	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
19	instantiation	27	⊢
	: , :
20	instantiation	27	⊢
	: , :
21	instantiation	28, 29	⊢
	:
22	instantiation	30, 31	⊢
	:
23	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
24	instantiation	35, 32, 33	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
28	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
29	instantiation	34, 37	⊢
	:
30	theorem		⊢
	proveit.numbers.absolute_value.complex_unit_length
31	assumption		⊢
32	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
33	instantiation	35, 36, 37	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonneg_if_in_real_nonneg
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
37	assumption		⊢
*equality replacement requirements