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	⊢
	: , : , : , :
1	instantiation	2, 14, 3^, 4^, 5^*	⊢
	:
2	axiom		⊢
	proveit.core_expr_types.tuples.tuple_eq_def
3	instantiation	7, 14, 37, 8, 6, 19	⊢
	: , : , : , : , : , : , :
4	instantiation	7, 14, 37, 8, 9, 20	⊢
	: , : , : , : , : , : , :
5	instantiation	10, 11, 12	⊢
	: , : , :
6	instantiation	13, 14	⊢
	: , :
7	theorem		⊢
	proveit.core_expr_types.tuples.tuple_portion_substitution
8	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
9	instantiation	13, 14	⊢
	: , :
10	axiom		⊢
	proveit.logic.equality.equals_transitivity
11	instantiation	15, 16, 17, 18, 19, 20	⊢
	: , : , : , :
12	instantiation	21, 22	⊢
	:
13	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
14	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
15	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
16	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
17	instantiation	23	⊢
	: , :
18	instantiation	23	⊢
	: , :
19	instantiation	24, 25	⊢
	: , : , :
20	instantiation	24, 25	⊢
	: , : , :
21	axiom		⊢
	proveit.logic.booleans.eq_true_intro
22	instantiation	26	⊢
	:
23	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
24	axiom		⊢
	proveit.core_expr_types.tuples.empty_range_def
25	instantiation	27, 28	⊢
	:
26	axiom		⊢
	proveit.logic.equality.equals_reflexivity
27	theorem		⊢
	proveit.numbers.addition.elim_zero_left
28	instantiation	35, 29, 30	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	35, 31, 32	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	35, 33, 34	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
34	instantiation	35, 36, 37	⊢
	: , : , :
35	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
36	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
37	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements