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	theorem		⊢
	proveit.logic.booleans.conjunction.some_from_and
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	11	⊢
4	instantiation	37, 53, 46	⊢
	: , :
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	10, 11	⊢
	: , :
7	reference	14	⊢
8	instantiation	12, 13, 14, 15	⊢
	: , : , : , :
9	assumption		⊢
10	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
11	assumption		⊢
12	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
13	instantiation	16, 17, 18, 19, 20, 21, 22, 27*, 29*	⊢
	: , : , : , :
14	instantiation	23, 34, 35	⊢
	: , :
15	instantiation	24, 25	⊢
	: , :
16	theorem		⊢
	proveit.core_expr_types.tuples.general_len
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
18	instantiation	26	⊢
	: , :
19	instantiation	26	⊢
	: , :
20	instantiation	26	⊢
	: , :
21	instantiation	28, 53, 27	⊢
	: , : , :
22	instantiation	28, 46, 29	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.commutation
24	theorem		⊢
	proveit.logic.equality.equals_reversal
25	instantiation	30, 31	⊢
	: , :
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27	instantiation	32, 34, 36	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.equality.sub_left_side_into
29	instantiation	33, 34, 35, 36	⊢
	: , : , :
30	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len
31	instantiation	37, 46, 53	⊢
	: , :
32	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_12
33	theorem		⊢
	proveit.numbers.addition.subtraction.add_cancel_triple_32
34	instantiation	51, 39, 38	⊢
	: , : , :
35	instantiation	51, 39, 40	⊢
	: , : , :
36	instantiation	41	⊢
	:
37	theorem		⊢
	proveit.numbers.addition.add_nat_closure_bin
38	instantiation	51, 42, 43	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
40	instantiation	44, 45, 46	⊢
	: , : , :
41	axiom		⊢
	proveit.logic.equality.equals_reflexivity
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
43	instantiation	51, 47, 48	⊢
	: , : , :
44	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
45	instantiation	49, 50	⊢
	: , :
46	assumption		⊢
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
48	instantiation	51, 52, 53	⊢
	: , : , :
49	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_within_real
51	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
52	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements