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, 7, 8, 9	, , ⊢
	: , : , :
3	instantiation	13, 10, 11	⊢
	: , : , :
4	theorem		⊢
	proveit.logic.sets.enumeration.nonmembership_fold
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
6	instantiation	12	⊢
	: , : , :
7	assumption		⊢
8	assumption		⊢
9	assumption		⊢
10	instantiation	13, 14, 15	⊢
	: , : , :
11	instantiation	16, 17	⊢
	: , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
13	axiom		⊢
	proveit.logic.equality.equals_transitivity
14	instantiation	20, 21, 22, 23	⊢
	: , : , : , : , : , : , :
15	instantiation	18, 19	⊢
	: , : , :
16	theorem		⊢
	proveit.logic.equality.equals_reversal
17	instantiation	20, 21, 22, 23	⊢
	: , : , : , : , : , : , :
18	axiom		⊢
	proveit.logic.equality.substitution
19	instantiation	24, 25	⊢
	:
20	theorem		⊢
	proveit.logic.sets.enumeration.leftward_permutation
21	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
23	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
24	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
25	instantiation	32, 26, 27	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
27	instantiation	32, 28, 29	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
29	instantiation	32, 30, 31	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	instantiation	32, 33, 34	⊢
	: , : , :
32	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
33	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
34	theorem		⊢
	proveit.numbers.numerals.decimals.nat2