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	⊢
	: , :
1	theorem		⊢
	proveit.logic.equality.equals_reversal
2	instantiation	3, 38, 33, 4, 5, 6, 7, 8, 12	⊢
	: , : , : , : , : , :
3	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	9	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	10, 11, 12, 13	⊢
	: , :
8	instantiation	36, 16, 14	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
10	theorem		⊢
	proveit.numbers.division.div_complex_closure
11	instantiation	36, 16, 15	⊢
	: , : , :
12	instantiation	36, 16, 17	⊢
	: , : , :
13	instantiation	18, 19	⊢
	:
14	instantiation	20, 21, 35	⊢
	: , : , :
15	instantiation	36, 23, 22	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	36, 23, 24	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
20	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
21	instantiation	25, 26	⊢
	: , :
22	instantiation	36, 28, 27	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	36, 28, 29	⊢
	: , : , :
25	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
27	instantiation	30, 31, 32	⊢
	: , :
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
29	instantiation	36, 37, 33	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
31	instantiation	36, 34, 35	⊢
	: , : , :
32	instantiation	36, 37, 38	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
34	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
35	assumption		⊢
36	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
37	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat1