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	, ⊢
	: , : , :
1	reference	6	⊢
2	instantiation	3, 4, 5	, ⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.equals_transitivity
4	instantiation	6, 7	⊢
	: , : , :
5	instantiation	8, 34, 9, 10, 11, 12, 13, 14, 16	, ⊢
	: , : , : , : , : , :
6	axiom		⊢
	proveit.logic.equality.substitution
7	instantiation	15, 20, 16	⊢
	: , :
8	theorem		⊢
	proveit.numbers.addition.disassociation
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
10	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
11	instantiation	17	⊢
	: , :
12	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
13	instantiation	32, 23, 18	⊢
	: , : , :
14	instantiation	19, 20	⊢
	:
15	theorem		⊢
	proveit.numbers.negation.distribute_neg_through_subtract
16	instantiation	32, 23, 21	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18	instantiation	32, 27, 22	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.negation.complex_closure
20	instantiation	32, 23, 24	⊢
	: , : , :
21	instantiation	32, 27, 25	⊢
	: , : , :
22	instantiation	32, 30, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	instantiation	32, 27, 28	⊢
	: , : , :
25	instantiation	32, 30, 29	⊢
	: , : , :
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
28	instantiation	32, 30, 31	⊢
	: , : , :
29	instantiation	32, 33, 34	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
31	assumption		⊢
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.nat1