exact h2_ih_1 V
D : Type
I : Interpretation D
M : MetaValuation D
E : Env
F F' : Formula
h1 : E.WellFormed
h2_phi h2_phi' h2_phi'' : Formula
a✝¹ : IsConv E h2_phi h2_phi'
a✝ : IsConv E h2_phi' h2_phi''
h2_ih_1 : ∀ (V : Valuation D), Holds D I V M E h2_phi ↔ Holds D I V M E h2_phi'
h2_ih_2 : ∀ (V : Valuation D), Holds D I V M E h2_phi' ↔ Holds D I V M E h2_phi''
V : Valuation D
⊢ Holds D I V M E h2_phi ↔ Holds D I V M E h2_phi'

D : Type
I : Interpretation D
M : MetaValuation D
E : Env
F F' : Formula
h1 : E.WellFormed
h2_phi h2_phi' h2_phi'' : Formula
a✝¹ : IsConv E h2_phi h2_phi'
a✝ : IsConv E h2_phi' h2_phi''
h2_ih_1 : ∀ (V : Valuation D), Holds D I V M E h2_phi ↔ Holds D I V M E h2_phi'
h2_ih_2 : ∀ (V : Valuation D), Holds D I V M E h2_phi' ↔ Holds D I V M E h2_phi''
V : Valuation D
⊢ Holds D I V M E h2_phi' ↔ Holds D I V M E h2_phi''
D : Type
I : Interpretation D
M : MetaValuation D
E : Env
F F' : Formula
h1 : E.WellFormed
h2_phi h2_phi' h2_phi'' : Formula
a✝¹ : IsConv E h2_phi h2_phi'
a✝ : IsConv E h2_phi' h2_phi''
h2_ih_1 : ∀ (V : Valuation D), Holds D I V M E h2_phi ↔ Holds D I V M E h2_phi'
h2_ih_2 : ∀ (V : Valuation D), Holds D I V M E h2_phi' ↔ Holds D I V M E h2_phi''
V : Valuation D
⊢ Holds D I V M E h2_phi' ↔ Holds D I V M E h2_phi''