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, 8, 9	⊢
	: , : , : , : , :
1	theorem		⊢
	proveit.numbers.addition.add_nat_pos_from_nonneg
2	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
3	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
4	instantiation	10	⊢
	: , :
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
6	instantiation	11, 12, 13	⊢
	:
7	instantiation	14, 15, 16	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
9	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	theorem		⊢
	proveit.numbers.number_sets.integers.nonneg_int_is_natural
12	instantiation	17, 18, 19	⊢
	: , :
13	instantiation	20, 21	⊢
	: , :
14	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
15	instantiation	22, 23	⊢
	: , :
16	instantiation	24, 25	⊢
	: , :
17	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
18	instantiation	27, 26, 31	⊢
	: , : , :
19	instantiation	27, 28, 29	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.addition.subtraction.nonneg_difference
21	instantiation	30, 31	⊢
	:
22	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
23	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.zero_set_within_nat
24	theorem		⊢
	proveit.logic.sets.enumeration.fold_singleton
25	theorem		⊢
	proveit.numbers.negation.negated_zero
26	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.neg_int_within_int
29	instantiation	32, 33	⊢
	:
30	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.natural_pos_lower_bound
31	assumption		⊢
32	theorem		⊢
	proveit.numbers.negation.int_neg_closure
33	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1