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, 30, 8, 9	⊢
	: , : , : , : , : , : , :
4	axiom		⊢
	proveit.logic.equality.equals_transitivity
5	instantiation	7, 30, 8, 9	⊢
	: , : , : , : , : , : , :
6	instantiation	10, 11	⊢
	: , : , :
7	theorem		⊢
	proveit.logic.sets.enumeration.leftward_permutation
8	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
9	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10	axiom		⊢
	proveit.logic.equality.substitution
11	instantiation	12, 13, 14	⊢
	: , : , :
12	theorem		⊢
	proveit.logic.equality.sub_right_side_into
13	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_1
14	instantiation	15, 16, 17	⊢
	: , :
15	theorem		⊢
	proveit.numbers.addition.commutation
16	instantiation	28, 19, 18	⊢
	: , : , :
17	instantiation	28, 19, 20	⊢
	: , : , :
18	instantiation	28, 22, 21	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	28, 22, 23	⊢
	: , : , :
21	instantiation	28, 25, 24	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	28, 25, 26	⊢
	: , : , :
24	instantiation	28, 29, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	instantiation	28, 29, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat1