Theorem: Pos.lt_of_le_of_lt (Extra/Pos/Lemmas.lean)

State before:
x y z : Pos
⊢ x ≤ y → y < z → x < z
Tactic:
by_toNat
State after:
x y z : Pos
⊢ y.toNat ≥ x.toNat → z.toNat > y.toNat → z.toNat > x.toNat

State before:
x y z : Pos
⊢ y.toNat ≥ x.toNat → z.toNat > y.toNat → z.toNat > x.toNat
Tactic:
exact Nat.lt_of_le_of_lt
State after:
no goals