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, 4, 5, 6^*	⊢
	: , : , :
1	theorem		⊢
	proveit.linear_algebra.tensors.tensor_prod_of_cart_exps_within_cart_exp
2	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
3	instantiation	7	⊢
	: , :
4	instantiation	9, 24, 8	⊢
	: , :
5	instantiation	9, 24, 10	⊢
	: , :
6	instantiation	11, 12, 13, 15	⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
8	instantiation	22, 14, 13	⊢
	: , : , :
9	theorem		⊢
	proveit.numbers.exponentiation.exp_natpos_closure
10	instantiation	22, 14, 15	⊢
	: , : , :
11	theorem		⊢
	proveit.numbers.exponentiation.product_of_posnat_powers
12	instantiation	22, 16, 17	⊢
	: , : , :
13	axiom		⊢
	proveit.physics.quantum.QPE._t_in_natural_pos
14	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
15	axiom		⊢
	proveit.physics.quantum.QPE._s_in_nat_pos
16	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
17	instantiation	22, 18, 19	⊢
	: , : , :
18	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
19	instantiation	22, 20, 21	⊢
	: , : , :
20	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
21	instantiation	22, 23, 24	⊢
	: , : , :
22	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
23	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
24	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
^*equality replacement requirements