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	, , , , ,  ⊢
	: , : , : , :
1	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
2	instantiation	5, 6, 7	, , , , ,  ⊢
	: , : , :
3	instantiation	8	⊢
	:
4	instantiation	9, 10	,  ⊢
	: , :
5	axiom		⊢
	proveit.logic.equality.equals_transitivity
6	instantiation	19, 11	,  ⊢
	: , : , :
7	instantiation	12, 13, 14, 15, 16, 17, 18	, , , , ,  ⊢
	: , : , : , : , : , : , : , : , : , :
8	axiom		⊢
	proveit.logic.equality.equals_reflexivity
9	theorem		⊢
	proveit.logic.equality.equals_reversal
10	instantiation	19, 20	,  ⊢
	: , : , :
11	instantiation	19, 20	,  ⊢
	: , : , :
12	theorem		⊢
	proveit.linear_algebra.tensors.factor_scalar_from_tensor_prod
13	instantiation	21, 32, 34	,  ⊢
	: , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
15	instantiation	22, 23	⊢
	:
16	assumption		⊢
17	instantiation	24, 25	,  ⊢
	:
18	assumption		⊢
19	axiom		⊢
	proveit.logic.equality.substitution
20	instantiation	26, 27, 28	,  ⊢
	: , :
21	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
22	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
23	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
24	assumption		⊢
25	instantiation	29, 30, 31	⊢
	:
26	axiom		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_extends_number_mult
27	instantiation	49, 33, 32	⊢
	: , : , :
28	instantiation	49, 33, 34	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
30	instantiation	49, 35, 47	⊢
	: , : , :
31	instantiation	36, 37	⊢
	: , :
32	assumption		⊢
33	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
34	assumption		⊢
35	instantiation	38, 45, 46	⊢
	: , :
36	theorem		⊢
	proveit.numbers.ordering.relax_less
37	instantiation	39, 40, 41	⊢
	: , : , :
38	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
39	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
40	instantiation	42, 43	⊢
	:
41	instantiation	44, 45, 46, 47	⊢
	: , : , :
42	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
43	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
44	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
45	instantiation	49, 50, 48	⊢
	: , : , :
46	instantiation	49, 50, 51	⊢
	: , : , :
47	assumption		⊢
48	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
49	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
50	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
51	theorem		⊢
	proveit.numbers.numerals.decimals.nat4