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	, ⊢
	: , :
1	theorem		⊢
	proveit.logic.equality.equals_reversal
2	modus ponens	3, 4	, ⊢
3	instantiation	5, 10, 13, 6	⊢
	: , : , : , : , : , : , : , :
4	modus ponens	7, 8	⊢
5	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.distribution_over_vec_sum_with_scalar_mult
6	assumption		⊢
7	instantiation	9, 10, 13	⊢
	: , : , : , : , : , :
8	generalization	11	⊢
9	theorem		⊢
	proveit.linear_algebra.addition.summation_closure
10	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
11	instantiation	12, 13, 14, 15	, ⊢
	: , : , : , :
12	theorem		⊢
	proveit.linear_algebra.scalar_multiplication.scalar_mult_closure
13	instantiation	16, 17	⊢
	:
14	instantiation	28, 18, 19	⊢
	: , : , :
15	assumption		⊢
16	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
17	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	28, 20, 21	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
21	instantiation	28, 22, 23	⊢
	: , : , :
22	instantiation	24, 25, 26	⊢
	: , :
23	assumption		⊢
24	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
25	instantiation	28, 29, 27	⊢
	: , : , :
26	instantiation	28, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat4