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	8	⊢
2	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
3	instantiation	8, 4, 5	⊢
	: , : , :
4	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
5	instantiation	8, 6, 7	⊢
	: , : , :
6	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
7	instantiation	8, 9, 10	⊢
	: , : , :
8	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
9	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
10	instantiation	11, 19, 12, 13, 14	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.deci_sequence_is_nat_pos
12	instantiation	16, 15, 18	⊢
	: , : , :
13	instantiation	16, 17, 18	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
15	instantiation	22, 19, 20, 21	⊢
	: , : , : , : , :
16	theorem		⊢
	proveit.logic.equality.sub_left_side_into
17	instantiation	22, 23, 24, 25, 26	⊢
	: , : , : , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.N_leq_9_enumSet
19	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
20	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
21	instantiation	27	⊢
	: , : , : , : , : , : , : , :
22	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
23	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
25	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
26	instantiation	28	⊢
	: , : , : , : , : , : , : , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_8_typical_eq
28	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_9_typical_eq