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, 15	⊢
	: , : , :
3	instantiation	5, 6, 7^*	⊢
	: , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	theorem		⊢
	proveit.logic.equality.equals_reversal
6	instantiation	8, 9, 10, 28, 11, 12, 13, 14, 21, 15^*	⊢
	: , : , : , : , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_3
8	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
9	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
10	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
11	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
12	instantiation	16	⊢
	: , :
13	instantiation	29, 18, 17	⊢
	: , : , :
14	instantiation	29, 18, 19	⊢
	: , : , :
15	instantiation	20, 21	⊢
	:
16	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
17	instantiation	29, 23, 22	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	29, 23, 24	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
21	assumption		⊢
22	instantiation	29, 26, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	29, 26, 27	⊢
	: , : , :
25	instantiation	29, 30, 28	⊢
	: , : , :
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	29, 30, 31	⊢
	: , : , :
28	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
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.nat3
^*equality replacement requirements