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	, , , , ,  ⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	10, 38, 7, 6, 9, 5, 17, 19, 20, 21, 22, 23, 24, 18	, , , , ,  ⊢
	: , : , : , : , : , : , :
3	instantiation	10, 6, 7, 38, 8, 9, 17, 19, 20, 21, 22, 23, 24, 18	, , , , ,  ⊢
	: , : , : , : , : , : , :
4	instantiation	10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24	, , , , ,  ⊢
	: , : , : , : , : , : , :
5	instantiation	25	⊢
	: , :
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat6
8	instantiation	25	⊢
	: , :
9	instantiation	26	⊢
	: , : , : , : , : , :
10	theorem		⊢
	proveit.numbers.addition.leftward_commutation
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	instantiation	27	⊢
	: , : , : , : , :
15	instantiation	28	⊢
	: , : , : , :
16	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
17	instantiation	39, 30, 29	⊢
	: , : , :
18	instantiation	39, 30, 31	⊢
	: , : , :
19	assumption		⊢
20	assumption		⊢
21	assumption		⊢
22	assumption		⊢
23	assumption		⊢
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_6_typical_eq
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_5_typical_eq
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
29	instantiation	39, 33, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	39, 33, 34	⊢
	: , : , :
32	instantiation	39, 36, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	39, 36, 37	⊢
	: , : , :
35	instantiation	39, 40, 38	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	39, 40, 41	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat3