intro σ hσ
L L₁ L₂ : Language
Φ : L₁ →ᵥ L₂
injf : ∀ (k : ℕ), Function.Injective Φ.func
injr : ∀ (k : ℕ), Function.Injective Φ.rel
T : Theory L₁
σ : Sentence L₁
h : Theory.lMap Φ T ⊨ (Semiformula.lMap Φ) σ
s₁ : SmallStruc L₁
hs₁ : s₁ ∈ Semantics.models (SmallStruc L₁) T
⊢ ∀ a ∈ T, (Structure.extendStructure Φ s₁.struc).toStruc ⊧ (Semiformula.lMap Φ) a
L L₁ L₂ : Language
Φ : L₁ →ᵥ L₂
injf : ∀ (k : ℕ), Function.Injective Φ.func
injr : ∀ (k : ℕ), Function.Injective Φ.rel
T : Theory L₁
σ✝ : Sentence L₁
h : Theory.lMap Φ T ⊨ (Semiformula.lMap Φ) σ✝
s₁ : SmallStruc L₁
hs₁ : s₁ ∈ Semantics.models (SmallStruc L₁) T
σ : Semiformula L₁ Empty 0
hσ : σ ∈ T
⊢ (Structure.extendStructure Φ s₁.struc).toStruc ⊧ (Semiformula.lMap Φ) σ