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.logic.equality.four_chain_transitivity
2	instantiation	5, 28, 6, 7^*	⊢
	: , : , :
3	instantiation	8	⊢
	:
4	instantiation	9, 10	⊢
	: , :
5	axiom		⊢
	proveit.core_expr_types.tuples.tuple_len_incr
6	instantiation	32	⊢
	: , : , : , : , : , : , : , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.add_9_1
8	axiom		⊢
	proveit.logic.equality.equals_reflexivity
9	theorem		⊢
	proveit.logic.equality.equals_reversal
10	instantiation	11, 12	⊢
	: , :
11	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len
12	instantiation	13, 14, 15, 16, 17	⊢
	: , :
13	theorem		⊢
	proveit.numbers.numerals.decimals.deci_sequence_is_nat
14	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
15	instantiation	18	⊢
	: , :
16	instantiation	20, 19, 22	⊢
	: , : , :
17	instantiation	20, 21, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
19	instantiation	26, 23, 24, 25	⊢
	: , : , : , : , :
20	theorem		⊢
	proveit.logic.equality.sub_left_side_into
21	instantiation	26, 27, 28, 29, 30	⊢
	: , : , : , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.N_leq_9_enumSet
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat8
25	instantiation	31	⊢
	: , : , : , : , : , : , : , :
26	theorem		⊢
	proveit.logic.sets.enumeration.in_enumerated_set
27	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat9
29	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
30	instantiation	32	⊢
	: , : , : , : , : , : , : , : , :
31	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_8_typical_eq
32	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_9_typical_eq
^*equality replacement requirements