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	⊢
	: , : , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
2	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
3	reference	44	⊢
4	reference	55	⊢
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	11	⊢
	: , :
7	instantiation	14, 12, 13	⊢
	: , :
8	instantiation	14, 15, 16	⊢
	: , :
9	instantiation	53, 33, 17	⊢
	: , : , :
10	instantiation	18, 25, 19, 20	⊢
	: , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	53, 33, 21	⊢
	: , : , :
13	instantiation	23, 25, 24	⊢
	: , :
14	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
15	instantiation	53, 33, 22	⊢
	: , : , :
16	instantiation	23, 24, 25	⊢
	: , :
17	instantiation	53, 42, 26	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.division.div_complex_closure
19	instantiation	53, 33, 27	⊢
	: , : , :
20	instantiation	28, 29	⊢
	:
21	instantiation	53, 42, 30	⊢
	: , : , :
22	instantiation	53, 42, 31	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
24	instantiation	53, 33, 32	⊢
	: , : , :
25	instantiation	53, 33, 34	⊢
	: , : , :
26	instantiation	53, 50, 35	⊢
	: , : , :
27	instantiation	53, 42, 36	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
29	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
30	instantiation	53, 50, 37	⊢
	: , : , :
31	instantiation	53, 50, 38	⊢
	: , : , :
32	instantiation	39, 40, 41	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
34	instantiation	53, 42, 43	⊢
	: , : , :
35	instantiation	53, 54, 44	⊢
	: , : , :
36	instantiation	53, 50, 45	⊢
	: , : , :
37	instantiation	53, 54, 46	⊢
	: , : , :
38	instantiation	53, 54, 47	⊢
	: , : , :
39	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
40	instantiation	48, 49	⊢
	: , :
41	assumption		⊢
42	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
43	instantiation	53, 50, 51	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
45	instantiation	53, 54, 52	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
48	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
51	instantiation	53, 54, 55	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
53	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
54	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
55	theorem		⊢
	proveit.numbers.numerals.decimals.nat1