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*	⊢
	: , : , : , : , :
1	reference	13	⊢
2	reference	17	⊢
3	instantiation	6, 16, 12	⊢
	: , : , :
4	reference	23	⊢
5	instantiation	10, 7, 8	⊢
	: , : , :
6	theorem		⊢
	proveit.logic.equality.sub_left_side_into
7	instantiation	9, 14	⊢
	: , : , :
8	instantiation	10, 11, 12	⊢
	: , : , :
9	axiom		⊢
	proveit.logic.equality.substitution
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	13, 17, 16, 23, 14*	⊢
	: , : , : , : , :
12	instantiation	15, 23, 16, 17	⊢
	: , : , :
13	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.doubly_scaled_as_singly_scaled
14	instantiation	18, 23, 19*	⊢
	: , :
15	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.one_as_scalar_mult_id
16	theorem		⊢
	proveit.physics.quantum.algebra.ket_zero_in_qubit_space
17	instantiation	20, 21	⊢
	:
18	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
19	instantiation	22, 23	⊢
	:
20	theorem		⊢
	proveit.linear_algebra.complex_vec_set_is_vec_space
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
22	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
23	instantiation	30, 24, 25	⊢
	: , : , :
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	30, 26, 27	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	30, 28, 29	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
29	instantiation	30, 31, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
*equality replacement requirements