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	reference	16	⊢
2	instantiation	22, 4	⊢
	: , : , :
3	instantiation	5, 6, 7, 32, 8, 9, 13, 10, 11^*	⊢
	: , : , : , : , : , :
4	instantiation	12, 13	⊢
	:
5	theorem		⊢
	proveit.numbers.addition.association
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	14	⊢
	: , :
10	instantiation	30, 19, 15	⊢
	: , : , :
11	instantiation	16, 17, 18	⊢
	: , : , :
12	theorem		⊢
	proveit.numbers.addition.elim_zero_right
13	instantiation	30, 19, 20	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
15	instantiation	30, 24, 21	⊢
	: , : , :
16	axiom		⊢
	proveit.logic.equality.equals_transitivity
17	instantiation	22, 23	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.numerals.decimals.add_2_3
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	30, 24, 25	⊢
	: , : , :
21	instantiation	30, 27, 26	⊢
	: , : , :
22	axiom		⊢
	proveit.logic.equality.substitution
23	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
25	instantiation	30, 27, 28	⊢
	: , : , :
26	instantiation	30, 31, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	30, 31, 32	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat3
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
^*equality replacement requirements