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	6	⊢
2	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
3	instantiation	6, 4, 5	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
5	instantiation	6, 7, 8	⊢
	: , : , :
6	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
7	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
8	instantiation	9, 17, 10, 11, 12	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.deci_sequence_is_nat_pos
10	instantiation	14, 13, 16	⊢
	: , : , :
11	instantiation	14, 15, 16	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
13	instantiation	20, 17, 18, 19	⊢
	: , : , : , : , :
14	theorem		⊢
	proveit.logic.equality.sub_left_side_into
15	instantiation	20, 21, 22, 23, 24	⊢
	: , : , : , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.N_leq_9_enumSet
17	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
19	instantiation	25	⊢
	: , : , : , : , : , : , : , :
20	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
21	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
23	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
24	instantiation	26	⊢
	: , : , : , : , : , : , : , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_8_typical_eq
26	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_9_typical_eq