Show the Proof¶

In [1]:

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

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3, 4, 5, 6, 7, 8	, , ⊢
	: , : , : , : , : , : , : , : , : , :
1	theorem		⊢
	proveit.linear_algebra.tensors.factor_scalar_from_tensor_prod
2	assumption		⊢
3	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	reference	15	⊢
7	assumption		⊢
8	modus ponens	9, 10	⊢
9	instantiation	11, 12, 15	⊢
	: , : , : , : , : , :
10	generalization	13	⊢
11	theorem		⊢
	proveit.linear_algebra.addition.summation_closure
12	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
13	instantiation	14, 15, 16, 17	, ⊢
	: , : , : , :
14	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
15	instantiation	18, 19	⊢
	:
16	instantiation	30, 20, 21	⊢
	: , : , :
17	assumption		⊢
18	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	30, 22, 23	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	30, 24, 25	⊢
	: , : , :
24	instantiation	26, 27, 28	⊢
	: , :
25	assumption		⊢
26	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
27	instantiation	30, 31, 29	⊢
	: , : , :
28	instantiation	30, 31, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
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.nat4