Theorems · Theorem · order theory

OrderMonoidHom.fst_apply

∀ (α : Type u_1) (β : Type u_2) [inst : Monoid α] [inst_1 : PartialOrder α] [inst_2 : Monoid β] [inst_3 : Preorder β]
  (self : α × β), (OrderMonoidHom.fst α β) self = self.1

Defined in: Mathlib.Algebra.Order.Monoid.Lex
Cited by: 0 results in Mathlib
Foundations: Depth 14 from the axioms · uses propext
Assumes: Monoid PartialOrder Monoid Preorder

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DFunLike.coestatement and proof · cited by 62,936
Preorderstatement and proof · cited by 7,952
PartialOrderstatement and proof · cited by 6,410
Monoidstatement and proof · cited by 3,887
OrderMonoidHomstatement · cited by 67
OrderMonoidHom.fststatement and proof · cited by 3

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