Theorems · Theorem · order theory
WCovBy.fst_ofLex
∀ {α : Type u_1} {β : Type u_2} [inst : Preorder α] [inst_1 : Preorder β] {a b : Lex (α × β)},
a ⩿ b → (ofLex a).1 ⩿ (ofLex b).1- Defined in
- Mathlib.Data.Prod.Lex
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- Preorderstatement and proof · cited by 7,952
- Lexstatement and proof · cited by 370
- toLexproof · cited by 195
- ofLexstatement and proof · cited by 127
- WCovBystatement and proof · cited by 107
- Prod.Lex.monotone_fstproof · cited by 3
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