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