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	,  ⊢
	: , : , : , :
1	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
3	instantiation	7	⊢
	: , :
4	instantiation	7	⊢
	: , :
5	instantiation	8, 9, 10*	⊢
	: , :
6	instantiation	27, 11, 12	,  ⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
8	axiom		⊢
	proveit.numbers.summation.sum_single
9	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
10	instantiation	13, 33	⊢
	:
11	instantiation	30, 14	⊢
	: , : , :
12	instantiation	15, 16, 17	,  ⊢
	:
13	theorem		⊢
	proveit.numbers.exponentiation.exp_zero_eq_one
14	instantiation	30, 18	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.division.frac_cancel_complete
16	instantiation	19, 35, 20	⊢
	: , :
17	instantiation	21, 22	⊢
	: , :
18	instantiation	30, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.addition.add_complex_closure_bin
20	instantiation	24, 33	⊢
	:
21	theorem		⊢
	proveit.numbers.addition.subtraction.nonzero_difference_if_different
22	instantiation	25, 26	⊢
	: , :
23	instantiation	27, 28, 29	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.negation.complex_closure
25	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
26	assumption		⊢
27	axiom		⊢
	proveit.logic.equality.equals_transitivity
28	instantiation	30, 31	⊢
	: , : , :
29	instantiation	32, 33	⊢
	:
30	axiom		⊢
	proveit.logic.equality.substitution
31	instantiation	34, 35	⊢
	:
32	theorem		⊢
	proveit.numbers.exponentiation.complex_x_to_first_power_is_x
33	assumption		⊢
34	theorem		⊢
	proveit.numbers.addition.elim_zero_left
35	instantiation	42, 36, 37	⊢
	: , : , :
36	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
37	instantiation	42, 38, 39	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
39	instantiation	42, 40, 41	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
41	instantiation	42, 43, 44	⊢
	: , : , :
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements