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	⊢
	: , : , :
3	instantiation	6, 7, 14, 8, 9, 10, 11	⊢
	: , : , : , : , : , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_portion_substitution
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
8	instantiation	12	⊢
	: , :
9	instantiation	13, 14	⊢
	: , :
10	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11	instantiation	15, 16	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
13	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
14	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
15	axiom		⊢
	proveit.core_expr_types.tuples.empty_range_def
16	instantiation	17, 18, 19	⊢
	: , : , :
17	theorem		⊢
	proveit.logic.equality.sub_right_side_into
18	instantiation	20, 22	⊢
	:
19	instantiation	21, 22, 23	⊢
	: , :
20	theorem		⊢
	proveit.numbers.addition.elim_zero_right
21	theorem		⊢
	proveit.numbers.addition.commutation
22	instantiation	30, 24, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.zero_is_complex
24	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
25	instantiation	30, 26, 27	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
27	instantiation	30, 28, 29	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
29	instantiation	30, 31, 32	⊢
	: , : , :
30	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
31	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
32	theorem		⊢
	proveit.numbers.numerals.decimals.nat1