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	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.disassociation
2	reference	27	⊢
3	reference	34	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	10	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	45, 25, 11	⊢
	: , : , :
8	instantiation	13, 14, 12	⊢
	: , :
9	instantiation	13, 14, 15	⊢
	: , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	45, 31, 16	⊢
	: , : , :
12	instantiation	45, 25, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
14	instantiation	45, 25, 18	⊢
	: , : , :
15	instantiation	19, 20	⊢
	:
16	instantiation	45, 29, 21	⊢
	: , : , :
17	instantiation	22, 23	⊢
	:
18	instantiation	45, 31, 24	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.negation.complex_closure
20	instantiation	45, 25, 26	⊢
	: , : , :
21	instantiation	45, 33, 27	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.negation.real_closure
23	instantiation	45, 31, 28	⊢
	: , : , :
24	instantiation	45, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	instantiation	45, 31, 32	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
28	instantiation	45, 35, 38	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
30	instantiation	45, 33, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	45, 35, 36	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
35	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
36	instantiation	37, 38, 39	⊢
	: , :
37	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
38	instantiation	40, 41, 42	⊢
	: , :
39	instantiation	45, 46, 43	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
41	instantiation	45, 46, 44	⊢
	: , : , :
42	instantiation	45, 46, 47	⊢
	: , : , :
43	assumption		⊢
44	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
45	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
47	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2