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, 9, 10	, , , ⊢
	: , : , : , : , : , : , : , : , : , :
1	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_disassociation
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
3	reference	38	⊢
4	instantiation	11	⊢
	: , :
5	reference	16	⊢
6	instantiation	11	⊢
	: , :
7	assumption		⊢
8	assumption		⊢
9	modus ponens	12, 13	⊢
10	assumption		⊢
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	14, 15, 16	⊢
	: , : , : , : , : , :
13	generalization	17	⊢
14	theorem		⊢
	proveit.linear_algebra.addition.summation_closure
15	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
16	instantiation	18, 19	⊢
	:
17	instantiation	20, 21	, ⊢
	:
18	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
19	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
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