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