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, 4, 5	⊢
	: , : , : , : , : , :
2	generalization	6	, , , ⊢
3	theorem		⊢
	proveit.linear_algebra.addition.summation_closure
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
5	instantiation	7, 9, 10, 11	⊢
	: , : , :
6	instantiation	8, 9, 10, 11, 12, 13, 14, 15, 16	, , , , ⊢
	: , : , : , :
7	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_vec_spaces_is_vec_space
8	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_is_in_tensor_prod_space
9	theorem		⊢
	proveit.numbers.numerals.decimals.posnat4
10	instantiation	19	⊢
	: , : , : , :
11	instantiation	17, 18	⊢
	:
12	instantiation	19	⊢
	: , : , : , :
13	assumption		⊢
14	assumption		⊢
15	instantiation	20, 21	, ⊢
	:
16	assumption		⊢
17	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
18	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
20	assumption		⊢
21	instantiation	22, 23, 24	⊢
	:
22	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
23	instantiation	39, 25, 37	⊢
	: , : , :
24	instantiation	26, 27	⊢
	: , :
25	instantiation	28, 35, 36	⊢
	: , :
26	theorem		⊢
	proveit.numbers.ordering.relax_less
27	instantiation	29, 30, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
29	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
30	instantiation	32, 33	⊢
	:
31	instantiation	34, 35, 36, 37	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
34	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
35	instantiation	39, 40, 38	⊢
	: , : , :
36	instantiation	39, 40, 41	⊢
	: , : , :
37	assumption		⊢
38	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
39	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
40	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat4