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, 9, 4	⊢
	: , : , : , : , : , : , :
2	modus ponens	5, 6	⊢
3	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.distribution_over_vec_sum
4	assumption		⊢
5	instantiation	7, 8, 9	⊢
	: , : , : , : , : , :
6	generalization	10	⊢
7	theorem		⊢
	proveit.linear_algebra.addition.summation_closure
8	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
9	instantiation	11, 12	⊢
	:
10	instantiation	13, 14	, ⊢
	:
11	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
12	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
13	assumption		⊢
14	instantiation	15, 16, 17	⊢
	:
15	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
16	instantiation	32, 18, 30	⊢
	: , : , :
17	instantiation	19, 20	⊢
	: , :
18	instantiation	21, 28, 29	⊢
	: , :
19	theorem		⊢
	proveit.numbers.ordering.relax_less
20	instantiation	22, 23, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
22	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
23	instantiation	25, 26	⊢
	:
24	instantiation	27, 28, 29, 30	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
26	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
27	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
28	instantiation	32, 33, 31	⊢
	: , : , :
29	instantiation	32, 33, 34	⊢
	: , : , :
30	assumption		⊢
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat4