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.distribute_through_sum
2	reference	52	⊢
3	reference	55	⊢
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	11, 16, 12, 13	,  ⊢
	: , :
8	instantiation	32, 16, 14	,  ⊢
	: , :
9	instantiation	32, 20, 15	,  ⊢
	: , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	theorem		⊢
	proveit.numbers.division.div_complex_closure
12	instantiation	32, 16, 17	⊢
	: , :
13	instantiation	18, 19	⊢
	: , :
14	instantiation	23, 20	,  ⊢
	:
15	instantiation	23, 21	,  ⊢
	:
16	instantiation	53, 37, 22	⊢
	: , : , :
17	instantiation	23, 28	⊢
	:
18	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
19	instantiation	24, 25	⊢
	: , :
20	instantiation	27, 28, 26	,  ⊢
	: , :
21	instantiation	27, 28, 29	,  ⊢
	: , :
22	instantiation	53, 40, 30	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.negation.complex_closure
24	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
25	assumption		⊢
26	instantiation	53, 37, 31	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.exponentiation.exp_complex_closure
28	assumption		⊢
29	instantiation	32, 33, 34	⊢
	: , :
30	instantiation	53, 47, 46	⊢
	: , : , :
31	instantiation	53, 40, 35	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
33	instantiation	53, 37, 36	⊢
	: , : , :
34	instantiation	53, 37, 38	⊢
	: , : , :
35	instantiation	53, 47, 39	⊢
	: , : , :
36	instantiation	53, 40, 41	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
38	instantiation	42, 43, 51	⊢
	: , : , :
39	instantiation	44, 45, 46	⊢
	: , :
40	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
41	instantiation	53, 47, 48	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
43	instantiation	49, 50	⊢
	: , :
44	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
45	instantiation	53, 54, 51	⊢
	: , : , :
46	instantiation	53, 54, 52	⊢
	: , : , :
47	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
48	instantiation	53, 54, 55	⊢
	: , : , :
49	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_within_real
51	assumption		⊢
52	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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.nat2