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_right_side_into
2	instantiation	4, 5, 6	, , ⊢
	: , :
3	instantiation	7, 8	⊢
	: , : , :
4	theorem		⊢
	proveit.logic.equality.lhs_via_equality
5	instantiation	9, 10, 11	, , ⊢
	: , :
6	instantiation	12, 34	⊢
	: , : , : , : , :
7	theorem		⊢
	proveit.core_expr_types.tuples.merge_extension
8	instantiation	33, 34	⊢
	: , :
9	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
10	instantiation	13, 14	, , ⊢
	: , :
11	instantiation	15, 34, 17, 19, 18, 20	, ⊢
	: , : , : , : , :
12	axiom		⊢
	proveit.core_expr_types.tuples.tuple_eq_def
13	assumption		⊢
14	instantiation	16, 17, 34, 32, 18, 19, 20	, ⊢
	: , : , : , : , : , :
15	theorem		⊢
	proveit.logic.booleans.conjunction.any_from_and
16	theorem		⊢
	proveit.logic.booleans.conjunction.some_from_and
17	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	26, 34	⊢
	: , :
20	instantiation	21, 27, 22, 23, 24, 25	, ⊢
	: , : , : , :
21	theorem		⊢
	proveit.logic.equality.sub_in_right_operands_via_tuple
22	instantiation	26, 27	⊢
	: , :
23	instantiation	28, 34	⊢
	: , : , :
24	assumption		⊢
25	instantiation	29, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
27	instantiation	31, 34, 32	⊢
	: , :
28	theorem		⊢
	proveit.core_expr_types.tuples.extended_range_from1_len_typical_eq
29	axiom		⊢
	proveit.core_expr_types.tuples.range_extension_def
30	instantiation	33, 34	⊢
	: , :
31	theorem		⊢
	proveit.numbers.addition.add_nat_closure_bin
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
33	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_is_nat
34	instantiation	35, 36, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
37	assumption		⊢