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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	4, 5, 38, 56, 7, 6, 9, 10, 8, 11	⊢
	: , : , : , : , : , : , :
3	instantiation	4, 56, 38, 5, 6, 7, 8, 9, 10, 11	⊢
	: , : , : , : , : , : , :
4	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	instantiation	12	⊢
	: , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	54, 35, 13	⊢
	: , : , :
9	instantiation	16, 14, 15	⊢
	: , :
10	instantiation	16, 17, 18	⊢
	: , :
11	instantiation	19, 27, 20, 21	⊢
	: , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13	instantiation	54, 44, 22	⊢
	: , : , :
14	instantiation	54, 35, 23	⊢
	: , : , :
15	instantiation	25, 27, 26	⊢
	: , :
16	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
17	instantiation	54, 35, 24	⊢
	: , : , :
18	instantiation	25, 26, 27	⊢
	: , :
19	theorem		⊢
	proveit.numbers.division.div_complex_closure
20	instantiation	54, 35, 28	⊢
	: , : , :
21	instantiation	29, 30	⊢
	:
22	instantiation	54, 51, 31	⊢
	: , : , :
23	instantiation	54, 44, 32	⊢
	: , : , :
24	instantiation	54, 44, 33	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
26	instantiation	54, 35, 34	⊢
	: , : , :
27	instantiation	54, 35, 36	⊢
	: , : , :
28	instantiation	54, 44, 37	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
30	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
31	instantiation	54, 55, 38	⊢
	: , : , :
32	instantiation	54, 51, 39	⊢
	: , : , :
33	instantiation	54, 51, 40	⊢
	: , : , :
34	instantiation	41, 42, 43	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
36	instantiation	54, 44, 45	⊢
	: , : , :
37	instantiation	54, 51, 46	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
39	instantiation	54, 55, 47	⊢
	: , : , :
40	instantiation	54, 55, 48	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
42	instantiation	49, 50	⊢
	: , :
43	assumption		⊢
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
45	instantiation	54, 51, 52	⊢
	: , : , :
46	instantiation	54, 55, 53	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
49	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
51	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
52	instantiation	54, 55, 56	⊢
	: , : , :
53	theorem		⊢
	proveit.numbers.numerals.decimals.nat5
54	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
55	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
56	theorem		⊢
	proveit.numbers.numerals.decimals.nat1