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	theorem		⊢
	proveit.logic.equality.sub_left_side_into
2	instantiation	4, 18, 17, 5, 6, 7	⊢
	: , : , : , : , :
3	instantiation	8, 9, 10, 11	⊢
	: , : , : , :
4	theorem		⊢
	proveit.logic.sets.enumeration.proper_subset_of_superset
5	instantiation	25	⊢
	: , : , :
6	instantiation	24	⊢
	: , :
7	assumption		⊢
8	theorem		⊢
	proveit.logic.equality.four_chain_transitivity
9	instantiation	16, 19, 14, 12, 22, 13	⊢
	: , : , : , : , : , : , :
10	instantiation	16, 14, 18, 15	⊢
	: , : , : , : , : , : , :
11	instantiation	16, 17, 18, 19, 20, 21, 22	⊢
	: , : , : , : , : , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
13	instantiation	23	⊢
	: , : , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
15	instantiation	25	⊢
	: , : , :
16	theorem		⊢
	proveit.logic.sets.enumeration.leftward_permutation
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
19	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
20	instantiation	24	⊢
	: , :
21	instantiation	25	⊢
	: , : , :
22	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_4_typical_eq
24	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq