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