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, 20, 11, 12*	⊢
	: , :
4	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
6	instantiation	13	⊢
	: , :
7	instantiation	13	⊢
	: , :
8	instantiation	14, 15	⊢
	:
9	instantiation	16, 17	⊢
	:
10	theorem		⊢
	proveit.numbers.negation.neg_times_pos
11	instantiation	30, 24, 18	⊢
	: , : , :
12	instantiation	19, 20	⊢
	:
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14	theorem		⊢
	proveit.numbers.absolute_value.abs_neg_elim
15	instantiation	21, 29	⊢
	:
16	theorem		⊢
	proveit.numbers.absolute_value.complex_unit_length
17	assumption		⊢
18	instantiation	30, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
20	instantiation	30, 24, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonpos_if_in_real_nonpos
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	30, 26, 27	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	30, 28, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	30, 31, 32	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonpos_within_real
29	assumption		⊢
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements