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, 5, 6, 7, 8^*	, , , , ⊢
	: , : , :
1	reference	10	⊢
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat3
3	instantiation	9	⊢
	: , : , :
4	reference	39	⊢
5	reference	38	⊢
6	reference	13	⊢
7	assumption		⊢
8	instantiation	10, 11, 12, 39, 38, 13, 14^*	, , , ⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_3_typical_eq
10	axiom		⊢
	proveit.numbers.ordering.min_def_multi
11	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
12	instantiation	33	⊢
	: , :
13	assumption		⊢
14	instantiation	20, 15, 16	, , ⊢
	: , : , :
15	instantiation	17, 39, 38	, ⊢
	: , :
16	instantiation	18, 38, 39, 19^*	, , ⊢
	: , :
17	theorem		⊢
	proveit.numbers.ordering.min_bin_args_commute
18	axiom		⊢
	proveit.numbers.ordering.min_def_bin
19	instantiation	20, 21, 22	, , ⊢
	: , : , :
20	axiom		⊢
	proveit.logic.equality.equals_transitivity
21	instantiation	23, 24, 25, 26, 27, 28	, , ⊢
	: , : , : , :
22	instantiation	29, 30, 31, 32	⊢
	: , : , : , : , :
23	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
25	instantiation	33	⊢
	: , :
26	instantiation	33	⊢
	: , :
27	instantiation	34, 40	⊢
	: , :
28	instantiation	35, 36	, , ⊢
	: , :
29	axiom		⊢
	proveit.core_expr_types.conditionals.true_case_reduction
30	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
32	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
33	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
34	theorem		⊢
	proveit.core_expr_types.conditionals.satisfied_condition_reduction
35	theorem		⊢
	proveit.core_expr_types.conditionals.dissatisfied_condition_reduction
36	instantiation	37, 38, 39, 40	, , ⊢
	: , :
37	theorem		⊢
	proveit.numbers.ordering.not_less_from_less_eq
38	assumption		⊢
39	assumption		⊢
40	assumption		⊢
^*equality replacement requirements