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