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