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	reference	9	⊢
2	instantiation	9, 4, 5	⊢
	: , : , :
3	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
4	instantiation	13, 6	⊢
	: , : , :
5	instantiation	13, 7	⊢
	: , : , :
6	instantiation	9, 8, 11	⊢
	: , : , :
7	instantiation	9, 10, 11	⊢
	: , : , :
8	instantiation	13, 12	⊢
	: , : , :
9	axiom		⊢
	proveit.logic.equality.equals_transitivity
10	instantiation	13, 14	⊢
	: , : , :
11	instantiation	15, 16	⊢
	:
12	theorem		⊢
	proveit.physics.quantum.algebra.ket_zero_norm
13	axiom		⊢
	proveit.logic.equality.substitution
14	theorem		⊢
	proveit.physics.quantum.algebra.ket_one_norm
15	theorem		⊢
	proveit.numbers.exponentiation.exponentiated_one
16	instantiation	23, 17, 18	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	instantiation	23, 19, 20	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
20	instantiation	23, 21, 22	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
22	instantiation	23, 24, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
24	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat2