Theorem: Pos.lt.intro (Extra/Pos/Lemmas.lean)

State before:
x y z : Pos
⊢ x + z = y → x < y
Tactic:
intro h
State after:
x y z : Pos
h : x + z = y
⊢ x < y

State before:
x y z : Pos
h : x + z = y
⊢ x < y
Tactic:
rw [←h]
State after:
x y z : Pos
h : x + z = y
⊢ x < x + z

State before:
x y z : Pos
h : x + z = y
⊢ x < x + z
Tactic:
exact Pos.lt_add_right x z
State after:
no goals