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*	⊢
	: , : , : , : , : , :
1	reference	15	⊢
2	reference	16	⊢
3	reference	30	⊢
4	reference	17	⊢
5	instantiation	23	⊢
	: , :
6	instantiation	23	⊢
	: , :
7	instantiation	40, 25, 10	⊢
	: , : , :
8	reference	20	⊢
9	instantiation	27, 11, 12	⊢
	: , : , :
10	instantiation	40, 32, 13	⊢
	: , : , :
11	instantiation	34, 14	⊢
	: , : , :
12	instantiation	15, 16, 30, 42, 17, 18, 19, 20, 21*	⊢
	: , : , : , : , : , :
13	instantiation	40, 37, 22	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
15	theorem		⊢
	proveit.numbers.addition.association
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
18	instantiation	23	⊢
	: , :
19	instantiation	40, 25, 24	⊢
	: , : , :
20	instantiation	40, 25, 26	⊢
	: , : , :
21	instantiation	27, 28, 29	⊢
	: , : , :
22	instantiation	40, 41, 30	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24	instantiation	40, 32, 31	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	40, 32, 33	⊢
	: , : , :
27	axiom		⊢
	proveit.logic.equality.equals_transitivity
28	instantiation	34, 35	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.add_4_1
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
31	instantiation	40, 37, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
33	instantiation	40, 37, 38	⊢
	: , : , :
34	axiom		⊢
	proveit.logic.equality.substitution
35	theorem		⊢
	proveit.numbers.numerals.decimals.add_3_1
36	instantiation	40, 41, 39	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
38	instantiation	40, 41, 42	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
40	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
41	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements