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