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	⊢
	: , : , : , : , : , : , :
2	generalization	5	, , , ⊢
3	theorem		⊢
	proveit.core_expr_types.lambda_maps.general_lambda_substitution
4	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
5	instantiation	6, 7, 36, 8, 9, 10, 11, 12, 13, 14	, , , , ⊢
	: , : , : , : , : , : , : , : , : , :
6	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_association
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
8	instantiation	17	⊢
	: , :
9	instantiation	15, 16	⊢
	:
10	instantiation	17	⊢
	: , :
11	assumption		⊢
12	assumption		⊢
13	instantiation	18, 19	, ⊢
	:
14	assumption		⊢
15	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
16	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18	assumption		⊢
19	instantiation	20, 21, 22	⊢
	:
20	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
21	instantiation	37, 23, 35	⊢
	: , : , :
22	instantiation	24, 25	⊢
	: , :
23	instantiation	26, 33, 34	⊢
	: , :
24	theorem		⊢
	proveit.numbers.ordering.relax_less
25	instantiation	27, 28, 29	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
27	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
28	instantiation	30, 31	⊢
	:
29	instantiation	32, 33, 34, 35	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
31	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
32	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
33	instantiation	37, 38, 36	⊢
	: , : , :
34	instantiation	37, 38, 39	⊢
	: , : , :
35	assumption		⊢
36	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
37	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
38	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
39	theorem		⊢
	proveit.numbers.numerals.decimals.nat4