Helper

pfwd1_pair4_swap34

File dumas2017dual/lib/extra_proba.v

Section perm_extra

Type Lemma

Proof Lines 4

Signature

Lemma pfwd1_pair4_swap34 (TA TB TC TD : finType) (X : {RV P -> TA}) (Y : {RV P -> TB}) (Z : {RV P -> TC}) (W : {RV P -> TD}) a b c d : `Pr[ [% X, Y, Z, W] = (a, b, c, d) ] = `Pr[ [% X, Y, W, Z] = (a, b, d, c) ].

Description

Swap 3rd and 4th components in 4-tuple probability: Pr[(X,Y,Z,W)=(a,b,c,d)] = Pr[(X,Y,W,Z)=(a,b,d,c)]. Used for reordering conditioning variables.

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