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	axiom		⊢
	proveit.logic.equality.equals_transitivity
2	instantiation	8, 4	,  ⊢
	: , :
3	instantiation	5, 36, 22	,  ⊢
	: , :
4	instantiation	6, 7	,  ⊢
	: , : , :
5	theorem		⊢
	proveit.physics.quantum.algebra.prepend_num_ket_with_one_ket
6	theorem		⊢
	proveit.physics.quantum.algebra.num_ket_eq
7	instantiation	8, 9	,  ⊢
	: , :
8	theorem		⊢
	proveit.logic.equality.equals_reversal
9	instantiation	10, 11, 12	,  ⊢
	: , :
10	theorem		⊢
	proveit.numbers.addition.commutation
11	instantiation	37, 14, 13	,  ⊢
	: , : , :
12	instantiation	37, 14, 15	⊢
	: , : , :
13	instantiation	37, 17, 16	,  ⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
15	instantiation	37, 17, 18	⊢
	: , : , :
16	instantiation	37, 20, 19	,  ⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
18	instantiation	37, 20, 27	⊢
	: , : , :
19	instantiation	37, 21, 22	,  ⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
21	instantiation	23, 24, 25	⊢
	: , :
22	assumption		⊢
23	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
24	theorem		⊢
	proveit.numbers.number_sets.integers.zero_is_int
25	instantiation	26, 27, 28	⊢
	: , :
26	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
27	instantiation	29, 30, 31	⊢
	: , :
28	instantiation	32, 33	⊢
	:
29	theorem		⊢
	proveit.numbers.exponentiation.exp_int_closure
30	instantiation	37, 38, 34	⊢
	: , : , :
31	instantiation	37, 35, 36	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.negation.int_closure
33	instantiation	37, 38, 39	⊢
	: , : , :
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
35	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
36	assumption		⊢
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat1