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, 8, 9, 10, 11, 12, 13, 14	, ⊢
	: , : , : , : , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_2
6	theorem		⊢
	proveit.numbers.addition.disassociation
7	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
9	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
10	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
11	instantiation	15	⊢
	: , :
12	instantiation	24, 18, 16	⊢
	: , : , :
13	instantiation	24, 18, 17	⊢
	: , : , :
14	instantiation	24, 18, 19	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	assumption		⊢
17	assumption		⊢
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	24, 20, 21	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	24, 22, 23	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	24, 25, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat3