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, 25, 5, 6, 7, 8	⊢
	: , : , : , :
3	instantiation	9, 18, 13, 10	⊢
	: , : , :
4	axiom		⊢
	proveit.core_expr_types.operations.operands_substitution
5	instantiation	11	⊢
	: , :
6	instantiation	11	⊢
	: , :
7	instantiation	12, 13	⊢
	:
8	instantiation	14, 18, 15^*	⊢
	: , :
9	theorem		⊢
	proveit.numbers.addition.subtraction.subtract_from_add
10	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
11	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
12	theorem		⊢
	proveit.numbers.multiplication.elim_one_left
13	instantiation	28, 20, 16	⊢
	: , : , :
14	theorem		⊢
	proveit.numbers.negation.pos_times_neg
15	instantiation	17, 18	⊢
	:
16	instantiation	28, 23, 19	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
18	instantiation	28, 20, 21	⊢
	: , : , :
19	instantiation	28, 26, 22	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
21	instantiation	28, 23, 24	⊢
	: , : , :
22	instantiation	28, 29, 25	⊢
	: , : , :
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
24	instantiation	28, 26, 27	⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
26	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
27	instantiation	28, 29, 30	⊢
	: , : , :
28	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
29	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
30	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
^*equality replacement requirements