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, 5, 6	, , ⊢
	: , :
3	instantiation	7, 29	⊢
	: , : , :
4	theorem		⊢
	proveit.logic.booleans.disjunction.binary_closure
5	instantiation	8, 9	, , ⊢
	:
6	instantiation	10, 29, 12, 14, 13, 15	, ⊢
	: , : , : , : , :
7	axiom		⊢
	proveit.logic.booleans.disjunction.multi_disjunction_def
8	assumption		⊢
9	instantiation	11, 12, 29, 27, 13, 14, 15	, ⊢
	: , : , : , : , : , :
10	theorem		⊢
	proveit.logic.booleans.conjunction.any_from_and
11	theorem		⊢
	proveit.logic.booleans.conjunction.some_from_and
12	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14	instantiation	21, 29	⊢
	: , :
15	instantiation	16, 22, 17, 18, 19, 20	, ⊢
	: , : , : , :
16	theorem		⊢
	proveit.logic.equality.sub_in_right_operands_via_tuple
17	instantiation	21, 22	⊢
	: , :
18	instantiation	23, 29	⊢
	: , : , :
19	assumption		⊢
20	instantiation	24, 25	⊢
	: , : , :
21	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
22	instantiation	26, 29, 27	⊢
	: , :
23	theorem		⊢
	proveit.core_expr_types.tuples.extended_range_from1_len_typical_eq
24	axiom		⊢
	proveit.core_expr_types.tuples.range_extension_def
25	instantiation	28, 29	⊢
	: , :
26	theorem		⊢
	proveit.numbers.addition.add_nat_closure_bin
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
28	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_is_nat
29	instantiation	30, 31, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
32	assumption		⊢