Theorem: LO.FirstOrder.Arith.Model.domain_restr_of_subset_domain (Arithmetization/ISigmaOne/HFS/Basic.lean)

State before:
M : Type u_1
inst✝⁵ : Zero M
inst✝⁴ : One M
inst✝³ : Add M
inst✝² : Mul M
inst✝¹ : LT M
inst✝ : M ⊧ₘ* 𝐈𝚺₁
f s : M
h : s ⊆ domain f
⊢ domain (f ↾ s) = s
Tactic:
simp [domain_restr, inter_comm, inter_eq_self_of_subset h]
State after:
no goals