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	assumption		⊢
3	instantiation	4, 5, 6	⊢
	: , : , :
4	axiom		⊢
	proveit.logic.equality.equals_transitivity
5	instantiation	7, 10, 9, 11, 13, 15, 14	⊢
	: , : , : , : , : , : , :
6	instantiation	8, 9, 29, 10, 11, 12, 13, 14, 15	⊢
	: , : , : , : , : , :
7	theorem		⊢
	proveit.numbers.multiplication.leftward_commutation
8	theorem		⊢
	proveit.numbers.multiplication.association
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
11	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12	instantiation	16	⊢
	: , :
13	instantiation	31, 19, 17	⊢
	: , : , :
14	instantiation	31, 19, 18	⊢
	: , : , :
15	instantiation	31, 19, 20	⊢
	: , : , :
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	instantiation	31, 23, 21	⊢
	: , : , :
18	instantiation	31, 23, 22	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
20	instantiation	31, 23, 24	⊢
	: , : , :
21	instantiation	31, 27, 25	⊢
	: , : , :
22	instantiation	31, 27, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	31, 27, 28	⊢
	: , : , :
25	instantiation	31, 32, 29	⊢
	: , : , :
26	instantiation	31, 32, 30	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	31, 32, 33	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat4
31	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
32	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat3