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	modus ponens	1, 2	, ⊢
1	instantiation	3, 8, 11, 4	⊢
	: , : , : , : , : , : , : , :
2	modus ponens	5, 6	⊢
3	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.distribution_over_vec_sum_with_scalar_mult
4	assumption		⊢
5	instantiation	7, 8, 11	⊢
	: , : , : , : , : , :
6	generalization	9	⊢
7	theorem		⊢
	proveit.linear_algebra.addition.summation_closure
8	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
9	instantiation	10, 11, 12, 13	, ⊢
	: , : , : , :
10	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
11	instantiation	14, 15	⊢
	:
12	instantiation	26, 16, 17	⊢
	: , : , :
13	assumption		⊢
14	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
15	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
16	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
17	instantiation	26, 18, 19	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
19	instantiation	26, 20, 21	⊢
	: , : , :
20	instantiation	22, 23, 24	⊢
	: , :
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
23	instantiation	26, 27, 25	⊢
	: , : , :
24	instantiation	26, 27, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
26	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat4