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	⊢
	: , : , :
1	reference	6	⊢
2	instantiation	6, 4, 5	⊢
	: , : , :
3	instantiation	17, 18, 31, 20	⊢
	: , : , : , : , : , : , :
4	instantiation	6, 7, 8	⊢
	: , : , :
5	instantiation	9, 10, 11	⊢
	: , : , :
6	theorem		⊢
	proveit.logic.equality.sub_left_side_into
7	instantiation	12, 32, 31, 22, 13	⊢
	: , : , : , : , :
8	instantiation	14, 32, 31, 18, 22, 20	⊢
	: , : , : , : , : , : , :
9	axiom		⊢
	proveit.logic.equality.equals_transitivity
10	instantiation	17, 18, 31, 15, 20, 16	⊢
	: , : , : , : , : , : , :
11	instantiation	17, 31, 32, 18, 19, 20	⊢
	: , : , : , : , : , : , :
12	theorem		⊢
	proveit.logic.sets.enumeration.proper_subset_of_superset
13	instantiation	21, 32, 22, 23, 24	⊢
	: , : , :
14	theorem		⊢
	proveit.logic.sets.enumeration.leftward_permutation
15	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
16	instantiation	25	⊢
	: , : , :
17	theorem		⊢
	proveit.logic.sets.enumeration.reduction_right
18	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
19	instantiation	26	⊢
	: , :
20	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
21	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
22	instantiation	26	⊢
	: , :
23	instantiation	28, 27	⊢
	: , :
24	instantiation	28, 29	⊢
	: , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
27	instantiation	30, 31, 32, 33	⊢
	: , :
28	theorem		⊢
	proveit.logic.equality.not_equals_symmetry
29	assumption		⊢
30	theorem		⊢
	proveit.numbers.ordering.less_is_not_eq_nat
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
33	theorem		⊢
	proveit.numbers.numerals.decimals.less_1_2