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