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	, ⊢
	:
1	theorem		⊢
	proveit.numbers.absolute_value.abs_non_neg_elim
2	instantiation	3, 4	, ⊢
	:
3	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nonneg_if_in_real_nonneg
4	instantiation	21, 5, 6	, ⊢
	: , : , :
5	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real_nonneg
6	instantiation	7, 8, 9, 10, 11, 12, 13, 14, 15	, ⊢
	: , : , : , : , :
7	theorem		⊢
	proveit.numbers.addition.add_real_pos_from_nonneg
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	instantiation	16	⊢
	: , :
11	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12	assumption		⊢
13	assumption		⊢
14	instantiation	21, 17, 18	⊢
	: , : , :
15	instantiation	19, 20	⊢
	:
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonneg_within_real_nonneg
18	instantiation	21, 22, 23	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_is_pos
20	theorem		⊢
	proveit.numbers.numerals.decimals.posnat5
21	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nat_within_rational_nonneg
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat5