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	theorem		⊢
	proveit.linear_algebra.addition.vec_sum_split_first
2	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
3	instantiation	52, 7, 9	⊢
	: , : , :
4	instantiation	8, 9	⊢
	:
5	instantiation	18, 10, 11	,  ⊢
	: , : , :
6	instantiation	12, 15	⊢
	:
7	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
8	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
9	assumption		⊢
10	instantiation	25, 13	⊢
	: , : , :
11	instantiation	14, 15, 16, 17	,  ⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.elim_zero_left
13	instantiation	18, 19, 20	⊢
	: , : , :
14	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.one_as_scalar_mult_id
15	instantiation	52, 42, 21	⊢
	: , : , :
16	instantiation	22, 32	⊢
	:
17	instantiation	23, 24	⊢
	:
18	axiom		⊢
	proveit.logic.equality.equals_transitivity
19	instantiation	25, 26	⊢
	: , : , :
20	instantiation	27, 28	⊢
	:
21	instantiation	52, 46, 29	⊢
	: , : , :
22	assumption		⊢
23	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
24	assumption		⊢
25	axiom		⊢
	proveit.logic.equality.substitution
26	instantiation	30, 31, 32, 33, 34, 35, 36, 37	⊢
	: , : , : , :
27	theorem		⊢
	proveit.numbers.exponentiation.exp_zero_eq_one
28	instantiation	52, 42, 38	⊢
	: , : , :
29	instantiation	52, 50, 39	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.multiplication.mult_zero_any
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
32	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
33	instantiation	40	⊢
	: , : , :
34	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
35	instantiation	52, 42, 41	⊢
	: , : , :
36	instantiation	52, 42, 43	⊢
	: , : , :
37	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
38	instantiation	52, 48, 44	⊢
	: , : , :
39	instantiation	52, 53, 45	⊢
	: , : , :
40	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
41	instantiation	52, 46, 47	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
43	instantiation	52, 48, 49	⊢
	: , : , :
44	theorem		⊢
	proveit.numbers.number_sets.real_numbers.e_is_real_pos
45	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
47	instantiation	52, 50, 51	⊢
	: , : , :
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
50	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
51	instantiation	52, 53, 54	⊢
	: , : , :
52	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
53	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
54	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements