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, 12	, ,  ⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.disassociation
2	reference	43	⊢
3	reference	44	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	13	⊢
	: , : , :
6	instantiation	14	⊢
	: , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	17, 15, 18, 16	⊢
	: , :
9	assumption		⊢
10	assumption		⊢
11	instantiation	17, 18, 19, 20	⊢
	: , :
12	instantiation	21, 22, 23	⊢
	: , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	47, 30, 24	⊢
	: , : , :
16	instantiation	28, 25	⊢
	:
17	theorem		⊢
	proveit.numbers.division.div_complex_closure
18	instantiation	47, 30, 26	⊢
	: , : , :
19	instantiation	47, 30, 27	⊢
	: , : , :
20	instantiation	28, 29	⊢
	:
21	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
22	assumption		⊢
23	instantiation	47, 30, 31	⊢
	: , : , :
24	instantiation	47, 40, 32	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
26	instantiation	47, 40, 33	⊢
	: , : , :
27	instantiation	47, 40, 34	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
30	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
31	instantiation	35, 36	⊢
	:
32	instantiation	47, 45, 37	⊢
	: , : , :
33	instantiation	47, 45, 38	⊢
	: , : , :
34	instantiation	47, 45, 39	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.negation.real_closure
36	instantiation	47, 40, 41	⊢
	: , : , :
37	instantiation	47, 48, 42	⊢
	: , : , :
38	instantiation	47, 48, 43	⊢
	: , : , :
39	instantiation	47, 48, 44	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
41	instantiation	47, 45, 46	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
43	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
45	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
46	instantiation	47, 48, 49	⊢
	: , : , :
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