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, 7, 6, 5, 9, 8, 11, 12, 10, 13	, , ,  ⊢
	: , : , : , : , : , : , :
3	instantiation	4, 5, 6, 7, 8, 9, 10, 11, 12, 13	, , ,  ⊢
	: , : , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
7	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
8	instantiation	14	⊢
	: , :
9	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10	instantiation	22, 18, 15	⊢
	: , : , :
11	instantiation	22, 18, 16	⊢
	: , : , :
12	instantiation	22, 18, 17	⊢
	: , : , :
13	instantiation	22, 18, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	22, 23, 20	⊢
	: , : , :
16	instantiation	22, 23, 21	⊢
	: , : , :
17	instantiation	22, 23, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	assumption		⊢
20	assumption		⊢
21	assumption		⊢
22	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_neg_within_real
24	assumption		⊢