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	⊢
	: , :
1	theorem		⊢
	proveit.numbers.multiplication.mult_complex_closure_bin
2	instantiation	4, 6	⊢
	:
3	instantiation	5, 6, 7	⊢
	: , :
4	theorem		⊢
	proveit.numbers.exponentiation.sqrt_complex_closure
5	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
6	instantiation	28, 9, 8	⊢
	: , : , :
7	instantiation	28, 9, 10	⊢
	: , : , :
8	instantiation	28, 12, 11	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
10	instantiation	28, 12, 13	⊢
	: , : , :
11	instantiation	28, 14, 15	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
13	instantiation	28, 16, 17	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
15	instantiation	28, 18, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.rational_pos_within_rational
17	instantiation	20, 21, 22	⊢
	: , :
18	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
20	theorem		⊢
	proveit.numbers.multiplication.mult_rational_pos_closure_bin
21	instantiation	23, 24, 25	⊢
	: , :
22	instantiation	28, 29, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.division.div_rational_pos_closure
24	instantiation	28, 29, 27	⊢
	: , : , :
25	instantiation	28, 29, 30	⊢
	: , : , :
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_pos_within_rational_pos
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2