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Theorems · Theorem · order theory

subset_of_eq

∀ {α : Type u_1} [UsesSetNotationForOrder α] [inst : Preorder α] {a b : α}, a = b → a ⊆ b

Set notation form of le_of_eq

Defined in
Mathlib.Order.RelClasses
Cited by
3 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
UsesSetNotationForOrderPreorder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finsupp.support_eq_singleton · cited by 2Finsupp.support_eq_single…IsLindelof.indexed_countable_subcover · cited by 2IsLindelof.indexed_counta…IsDenseInducing.isUniformInducing_extend · cited by 1IsDenseInducing.isUniform…Preorder · cited by 7952Preorderle_of_eq · cited by 366le_of_eqsubset_of_eqCITED BYCITES

Cites2

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Cited by3

Results whose statement or proof uses this declaration.