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.equals_reversal
2	instantiation	4, 5, 6, 23, 7, 8, 9, 14, 10^*	⊢
	: , : , : , : , : , :
3	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
4	theorem		⊢
	proveit.numbers.multiplication.distribute_through_sum
5	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
8	instantiation	11	⊢
	: , :
9	instantiation	21, 17, 12	⊢
	: , : , :
10	instantiation	13, 14	⊢
	:
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	instantiation	21, 15, 16	⊢
	: , : , :
13	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
14	instantiation	21, 17, 18	⊢
	: , : , :
15	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
16	instantiation	21, 19, 20	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
18	assumption		⊢
19	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
20	instantiation	21, 22, 23	⊢
	: , : , :
21	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
22	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
23	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements