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