Theorems · Theorem · order theory
Eq.ge
∀ {α : Type u_1} [inst : Preorder α] {a b : α}, a = b → b ≤ aAlias of ge_of_eq.
- Defined in
- Mathlib.Order.Basic
- Cited by
- 375 results in Mathlib
- Foundations
- Depth 6 from the axioms, rests on 8 definitions · uses no axioms
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by375
Results whose statement or proof uses this declaration.
- Module.Basis.mk_eq_rank''proof · cited by 23
- disjoint_compl_leftproof · cited by 17
- Eq.supersetproof · cited by 16
- sdiff_eq_leftproof · cited by 15
- ENNReal.mul_iSupproof · cited by 13
- Submodule.eq_of_le_of_finrank_eqproof · cited by 13
- LE.le.ge_iff_eqproof · cited by 12
- Nat.ceil_lt_add_oneproof · cited by 11
- measurable_of_restrict_of_restrict_complproof · cited by 9
- Order.pred_eq_iff_isMinproof · cited by 8
- Bundle.Trivialization.isLocalFrameOn_localFrame_baseSetproof · cited by 7
- Module.free_of_flat_of_isLocalRingproof · cited by 7
Showing the 200 most cited of 375.