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, 10*	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.association
2	reference	35	⊢
3	reference	40	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	11	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	38, 30, 12	⊢
	: , : , :
8	reference	23	⊢
9	reference	22	⊢
10	instantiation	13, 14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	16, 17, 18	⊢
	: , : , :
13	theorem		⊢
	proveit.logic.equality.sub_right_side_into
14	instantiation	19, 22, 28, 20	⊢
	: , : , :
15	instantiation	21, 22, 23	⊢
	: , :
16	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
17	instantiation	24, 25	⊢
	: , :
18	assumption		⊢
19	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add_reversed
20	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
21	theorem		⊢
	proveit.numbers.addition.commutation
22	instantiation	38, 30, 26	⊢
	: , : , :
23	instantiation	27, 28	⊢
	:
24	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
25	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
26	instantiation	38, 33, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.negation.complex_closure
28	instantiation	38, 30, 31	⊢
	: , : , :
29	instantiation	38, 36, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	38, 33, 34	⊢
	: , : , :
32	instantiation	38, 39, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
34	instantiation	38, 36, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
36	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
37	instantiation	38, 39, 40	⊢
	: , : , :
38	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
39	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements