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	, ⊢
	: , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	instantiation	8, 14, 20	, ⊢
	: , :
6	theorem		⊢
	proveit.logic.equality.equals_reversal
7	instantiation	9, 29, 10, 11, 12, 13, 20, 14, 15, 16^*	, ⊢
	: , : , : , : , : , :
8	theorem		⊢
	proveit.numbers.multiplication.commutation
9	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
11	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
12	instantiation	17	⊢
	: , :
13	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
14	assumption		⊢
15	instantiation	27, 23, 18	⊢
	: , : , :
16	instantiation	19, 20	⊢
	:
17	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
18	instantiation	27, 21, 22	⊢
	: , : , :
19	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
20	instantiation	27, 23, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
22	instantiation	27, 25, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
24	assumption		⊢
25	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
26	instantiation	27, 28, 29	⊢
	: , : , :
27	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
28	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
29	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements