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