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, 11	, ,  ⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.rightward_commutation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	41	⊢
4	reference	47	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	12	⊢
	: , : , :
7	instantiation	15, 13, 16, 14	⊢
	: , :
8	assumption		⊢
9	assumption		⊢
10	instantiation	15, 16, 17, 18	⊢
	: , :
11	instantiation	19, 20, 21	⊢
	: , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
13	instantiation	45, 28, 22	⊢
	: , : , :
14	instantiation	26, 23	⊢
	:
15	theorem		⊢
	proveit.numbers.division.div_complex_closure
16	instantiation	45, 28, 24	⊢
	: , : , :
17	instantiation	45, 28, 25	⊢
	: , : , :
18	instantiation	26, 27	⊢
	:
19	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
20	assumption		⊢
21	instantiation	45, 28, 29	⊢
	: , : , :
22	instantiation	45, 38, 30	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
24	instantiation	45, 38, 31	⊢
	: , : , :
25	instantiation	45, 38, 32	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
28	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
29	instantiation	33, 34	⊢
	:
30	instantiation	45, 43, 35	⊢
	: , : , :
31	instantiation	45, 43, 36	⊢
	: , : , :
32	instantiation	45, 43, 37	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.negation.real_closure
34	instantiation	45, 38, 39	⊢
	: , : , :
35	instantiation	45, 46, 40	⊢
	: , : , :
36	instantiation	45, 46, 41	⊢
	: , : , :
37	instantiation	45, 46, 42	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
39	instantiation	45, 43, 44	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
43	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
44	instantiation	45, 46, 47	⊢
	: , : , :
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat1