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, 7, 8, 9, 10, 11, 12, 13	, , , , , ,  ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
4	instantiation	15	⊢
	: , :
5	instantiation	14	⊢
	: , : , :
6	instantiation	15	⊢
	: , :
7	instantiation	23, 17, 16	⊢
	: , : , :
8	instantiation	23, 17, 18	⊢
	: , : , :
9	assumption		⊢
10	assumption		⊢
11	assumption		⊢
12	assumption		⊢
13	assumption		⊢
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	instantiation	23, 20, 19	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	23, 20, 21	⊢
	: , : , :
19	instantiation	23, 24, 22	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	23, 24, 25	⊢
	: , : , :
22	assumption		⊢
23	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
25	assumption		⊢