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	theorem		⊢
	proveit.logic.equality.sub_right_side_into
2	instantiation	14, 4, 28	, , ⊢
	: , :
3	instantiation	5, 6, 7, 8, 9, 10, 11, 12, 13	, , ⊢
	: , : , : , : , : , :
4	instantiation	14, 24, 25	, ⊢
	: , :
5	theorem		⊢
	proveit.numbers.multiplication.disassociation
6	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
7	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
8	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
9	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10	instantiation	15	⊢
	: , :
11	instantiation	26, 18, 16	⊢
	: , : , :
12	instantiation	26, 18, 17	⊢
	: , : , :
13	instantiation	26, 18, 19	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.multiplication.mult_int_closure_bin
15	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
16	instantiation	26, 22, 20	⊢
	: , : , :
17	instantiation	26, 22, 21	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	26, 22, 23	⊢
	: , : , :
20	instantiation	26, 27, 24	⊢
	: , : , :
21	instantiation	26, 27, 25	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
23	instantiation	26, 27, 28	⊢
	: , : , :
24	assumption		⊢
25	assumption		⊢
26	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	assumption		⊢