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^, 4^	⊢
	:
1	theorem		⊢
	proveit.numbers.numerals.decimals.md_only_nine_add_one
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
3	instantiation	8, 26, 9, 28, 5, 6, 7	⊢
	: , : , : , : , : , : , :
4	instantiation	8, 22, 9, 26, 10, 28, 11, 12, 13	⊢
	: , : , : , : , : , : , :
5	instantiation	15	⊢
	: , : , :
6	instantiation	17, 14, 19	⊢
	: , : , :
7	instantiation	20	⊢
	:
8	theorem		⊢
	proveit.numbers.numerals.decimals.deci_sequence_reduction_ER
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
10	instantiation	15	⊢
	: , : , :
11	instantiation	17, 16, 19	⊢
	: , : , :
12	instantiation	17, 18, 19	⊢
	: , : , :
13	instantiation	20	⊢
	:
14	instantiation	25, 27, 26, 21, 28	⊢
	: , : , : , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
16	instantiation	25, 22, 23, 24	⊢
	: , : , : , : , :
17	theorem		⊢
	proveit.logic.equality.sub_left_side_into
18	instantiation	25, 26, 27, 28, 29	⊢
	: , : , : , : , :
19	theorem		⊢
	proveit.numbers.numerals.decimals.N_leq_9_enumSet
20	theorem		⊢
	proveit.numbers.numerals.decimals.reduce_3_repeats
21	instantiation	31	⊢
	: , : , : , : , : , : , : , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
24	instantiation	30	⊢
	: , : , : , : , : , : , : , :
25	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
26	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
27	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
28	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
29	instantiation	31	⊢
	: , : , : , : , : , : , : , : , :
30	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_8_typical_eq
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_9_typical_eq
^*equality replacement requirements