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	,  ⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.substitution
2	instantiation	3, 4, 5	,  ⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.equals_transitivity
4	instantiation	6, 29, 8, 9, 11, 13, 12	,  ⊢
	: , : , : , : , : , : , :
5	instantiation	7, 8, 32, 29, 9, 10, 11, 12, 13, 14*	,  ⊢
	: , : , : , : , : , :
6	theorem		⊢
	proveit.numbers.addition.leftward_commutation
7	theorem		⊢
	proveit.numbers.addition.association
8	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
9	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10	instantiation	15	⊢
	: , :
11	instantiation	30, 18, 16	⊢
	: , : , :
12	instantiation	30, 18, 17	⊢
	: , : , :
13	instantiation	30, 18, 19	,  ⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_2
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	instantiation	30, 21, 20	⊢
	: , : , :
17	instantiation	30, 21, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	23, 24, 25	,  ⊢
	: , :
20	instantiation	30, 27, 26	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	30, 27, 28	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
24	assumption		⊢
25	assumption		⊢
26	instantiation	30, 31, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	30, 31, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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.nat2
*equality replacement requirements