Theorems · Theorem · order theory

apply_covBy_apply_iff

∀ {α : Type u_1} {β : Type u_2} [inst : Preorder α] [inst_1 : Preorder β] {a b : α} {E : Type u_3}
  [inst_2 : EquivLike E α β] [OrderIsoClass E α β] (e : E), e a ⋖ e b ↔ a ⋖ b

Defined in

Mathlib.Order.Cover

Cited by

3 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PreorderPreorderEquivLikeOrderIsoClass