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	, ⊢
	: , : , :
1	reference	6	⊢
2	instantiation	3, 4, 5	, ⊢
	: , : , :
3	axiom		⊢
	proveit.logic.equality.equals_transitivity
4	instantiation	6, 7	, ⊢
	: , : , :
5	instantiation	8, 9	, ⊢
	: , :
6	axiom		⊢
	proveit.logic.equality.substitution
7	instantiation	10, 16, 22	, ⊢
	: , :
8	theorem		⊢
	proveit.logic.equality.equals_reversal
9	instantiation	11, 31, 12, 13, 14, 15, 22, 16, 17, 18^*	, ⊢
	: , : , : , : , : , :
10	theorem		⊢
	proveit.numbers.multiplication.commutation
11	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
12	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	instantiation	19	⊢
	: , :
15	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
16	assumption		⊢
17	instantiation	29, 25, 20	⊢
	: , : , :
18	instantiation	21, 22	⊢
	:
19	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
20	instantiation	29, 23, 24	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
22	instantiation	29, 25, 26	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	29, 27, 28	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
26	assumption		⊢
27	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
28	instantiation	29, 30, 31	⊢
	: , : , :
29	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
30	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
31	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements