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, 30, 27, 5, 6, 7, 10, 11, 13, 12	,  ⊢
	: , : , : , : , : , : , :
3	instantiation	8, 27, 30, 9, 10, 11, 12, 13, 14*	,  ⊢
	: , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.addition.leftward_commutation
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	instantiation	15	⊢
	: , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	theorem		⊢
	proveit.numbers.addition.association
9	instantiation	15	⊢
	: , :
10	instantiation	28, 19, 16	⊢
	: , : , :
11	instantiation	28, 19, 17	⊢
	: , : , :
12	instantiation	28, 19, 18	⊢
	: , : , :
13	instantiation	28, 19, 20	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_2
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	assumption		⊢
17	instantiation	28, 22, 21	⊢
	: , : , :
18	instantiation	28, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	assumption		⊢
21	instantiation	28, 25, 24	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	28, 25, 26	⊢
	: , : , :
24	instantiation	28, 29, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	instantiation	28, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements