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.core_expr_types.tuples.range_len
2	instantiation	14, 15, 3	⊢
	: , : , :
3	instantiation	4, 5, 6, 7, 8, 9, 10, 11, 12	⊢
	: , : , : , : , :
4	theorem		⊢
	proveit.numbers.addition.add_nat_pos_from_nonneg
5	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	instantiation	13	⊢
	: , :
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	14, 15, 16	⊢
	: , : , :
10	instantiation	17, 18, 19	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
12	theorem		⊢
	proveit.numbers.numerals.decimals.less_0_1
13	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
14	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
15	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
16	instantiation	20, 21, 22	⊢
	: , :
17	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
18	instantiation	23, 24	⊢
	: , :
19	instantiation	25, 26	⊢
	: , :
20	theorem		⊢
	proveit.numbers.addition.add_nat_pos_closure_bin
21	assumption		⊢
22	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
23	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
24	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.zero_set_within_nat
25	theorem		⊢
	proveit.logic.sets.enumeration.fold_singleton
26	theorem		⊢
	proveit.numbers.negation.negated_zero