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^	, , , ⊢
	: , : , :
1	axiom		⊢
	proveit.logic.equality.substitution
2	modus ponens	5, 6	, , , ⊢
3	instantiation	7, 40	⊢
	: , :
4	instantiation	7, 40	⊢
	: , :
5	instantiation	8, 9	⊢
	: , : , : , : , : , : , :
6	generalization	10	, , , ⊢
7	theorem		⊢
	proveit.core_expr_types.conditionals.satisfied_condition_reduction
8	theorem		⊢
	proveit.core_expr_types.lambda_maps.general_lambda_substitution
9	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
10	instantiation	11, 12, 41, 13, 14, 15, 16, 17, 18, 19	, , , , ⊢
	: , : , : , : , : , : , : , : , : , :
11	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_association
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
13	instantiation	22	⊢
	: , :
14	instantiation	20, 21	⊢
	:
15	instantiation	22	⊢
	: , :
16	assumption		⊢
17	assumption		⊢
18	instantiation	23, 24	, ⊢
	:
19	assumption		⊢
20	theorem		⊢
	proveit.linear_algebra.real_vec_set_is_vec_space
21	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
22	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
23	assumption		⊢
24	instantiation	25, 26, 27	⊢
	:
25	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
26	instantiation	42, 28, 40	⊢
	: , : , :
27	instantiation	29, 30	⊢
	: , :
28	instantiation	31, 38, 39	⊢
	: , :
29	theorem		⊢
	proveit.numbers.ordering.relax_less
30	instantiation	32, 33, 34	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
32	theorem		⊢
	proveit.numbers.ordering.transitivity_less_less_eq
33	instantiation	35, 36	⊢
	:
34	instantiation	37, 38, 39, 40	⊢
	: , : , :
35	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
36	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
37	theorem		⊢
	proveit.numbers.number_sets.integers.interval_lower_bound
38	instantiation	42, 43, 41	⊢
	: , : , :
39	instantiation	42, 43, 44	⊢
	: , : , :
40	assumption		⊢
41	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
42	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
43	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
44	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
^*equality replacement requirements