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*	,  ⊢
	:
1	theorem		⊢
	proveit.numbers.absolute_value.abs_even
2	instantiation	27, 24, 7	,  ⊢
	: , :
3	instantiation	4, 5, 6, 24, 7, 8*	,  ⊢
	: , :
4	theorem		⊢
	proveit.numbers.absolute_value.abs_prod
5	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
6	instantiation	28	⊢
	: , :
7	instantiation	9, 10, 11	⊢
	: , :
8	instantiation	41, 12, 13	,  ⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
10	instantiation	52, 53, 14	⊢
	: , : , :
11	instantiation	15, 16	⊢
	:
12	instantiation	17, 18, 19, 20, 21, 22	,  ⊢
	: , : , : , :
13	instantiation	23, 24	⊢
	:
14	instantiation	52, 25, 26	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.negation.complex_closure
16	instantiation	27, 51, 50	⊢
	: , :
17	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
19	instantiation	28	⊢
	: , :
20	instantiation	28	⊢
	: , :
21	instantiation	29, 30	⊢
	:
22	instantiation	31, 32, 33*	⊢
	:
23	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
24	instantiation	52, 53, 34	⊢
	: , : , :
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.multiplication.mult_complex_closure_bin
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
29	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
30	instantiation	35, 39	⊢
	:
31	theorem		⊢
	proveit.numbers.absolute_value.complex_unit_length
32	instantiation	36, 54	⊢
	:
33	instantiation	46, 37	⊢
	: , :
34	instantiation	52, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonneg_if_in_real_nonneg
36	theorem		⊢
	proveit.numbers.negation.real_closure
37	instantiation	44, 40	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
39	assumption		⊢
40	instantiation	41, 42, 43	⊢
	: , : , :
41	axiom		⊢
	proveit.logic.equality.equals_transitivity
42	instantiation	44, 45	⊢
	: , : , :
43	instantiation	46, 47	⊢
	: , :
44	axiom		⊢
	proveit.logic.equality.substitution
45	instantiation	48, 51, 50	⊢
	: , :
46	theorem		⊢
	proveit.logic.equality.equals_reversal
47	instantiation	49, 50, 51	⊢
	: , :
48	theorem		⊢
	proveit.numbers.multiplication.commutation
49	theorem		⊢
	proveit.numbers.negation.pos_times_neg
50	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
51	instantiation	52, 53, 54	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
54	assumption		⊢
*equality replacement requirements