The representation claim for Heyting algebras with an E-pair
Let A\mathfrak{A}A and B\mathfrak{B}B be Heyting algebras such that A≼B\mathfrak{A}\preccurlyeq\mathfrak{B}A≼B. Let a∈∣A∣a\in|\mathfrak{A}|a∈∣A∣, and let (a,a∗)(a,a^{\ast})(a,a∗) be an E\mathcal{E}E-pai…