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*	⊢
	: , : , : , :
1	theorem		⊢
	proveit.core_expr_types.tuples.general_len
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
3	instantiation	27	⊢
	: , : , :
4	instantiation	27	⊢
	: , : , :
5	reference	18	⊢
6	instantiation	9, 49, 19	⊢
	: , : , :
7	instantiation	9, 10, 20	⊢
	: , : , :
8	instantiation	11, 12, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.logic.equality.sub_left_side_into
10	instantiation	47, 14, 42	⊢
	: , : , :
11	axiom		⊢
	proveit.logic.equality.equals_transitivity
12	instantiation	15, 16, 17, 18, 19, 20	⊢
	: , : , : , :
13	instantiation	21, 22, 23, 49, 24, 25, 30, 31, 26*	⊢
	: , : , : , : , : , :
14	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
15	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
17	instantiation	27	⊢
	: , : , :
18	instantiation	27	⊢
	: , : , :
19	instantiation	28, 30, 32	⊢
	: , : , :
20	instantiation	29, 30, 31, 32	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.addition.association
22	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
24	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
25	instantiation	33	⊢
	: , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
28	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
29	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
30	instantiation	47, 35, 34	⊢
	: , : , :
31	instantiation	47, 35, 36	⊢
	: , : , :
32	instantiation	37	⊢
	:
33	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
34	instantiation	47, 38, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
36	instantiation	40, 41, 42	⊢
	: , : , :
37	axiom		⊢
	proveit.logic.equality.equals_reflexivity
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
39	instantiation	47, 43, 44	⊢
	: , : , :
40	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
41	instantiation	45, 46	⊢
	: , :
42	assumption		⊢
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	instantiation	47, 48, 49	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
47	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
49	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements