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, 13, 7, 8, 9, 10	⊢
	: , : , : , : , : , : , :
4	axiom		⊢
	proveit.logic.equality.substitution
5	theorem		⊢
	proveit.core_expr_types.tuples.tuple_portion_substitution
6	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
7	instantiation	11	⊢
	: , :
8	instantiation	12, 13	⊢
	: , :
9	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
10	instantiation	14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
13	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
14	axiom		⊢
	proveit.core_expr_types.tuples.empty_range_def
15	instantiation	16, 17	⊢
	:
16	theorem		⊢
	proveit.numbers.addition.elim_zero_left
17	instantiation	24, 18, 19	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
19	instantiation	24, 20, 21	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
21	instantiation	24, 22, 23	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
23	instantiation	24, 25, 26	⊢
	: , : , :
24	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
25	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
26	theorem		⊢
	proveit.numbers.numerals.decimals.nat1