Helper

pfwd1_nested3_AC

File dumas2017dual/lib/extra_proba.v

Section perm_extra

Type Lemma

Proof Lines 6

Signature

Lemma pfwd1_nested3_AC (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 components in nested triple: (a,(b,c,d)) ↔ (a,(b,d,c)). Relates different nestings of tuple probabilities.

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