Theorems · Theorem · linear algebra
LinearPMap.le_graph_iff
∀ {R : Type u_1} [inst : Ring R] {E : Type u_4} [inst_1 : AddCommGroup E] [inst_2 : Module R E] {F : Type u_5}
[inst_3 : AddCommGroup F] [inst_4 : Module R F] {f g : E →ₗ.[R] F}, f.graph ≤ g.graph ↔ f ≤ g- Defined in
- Mathlib.LinearAlgebra.LinearPMap
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
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- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- Submodulestatement · cited by 7,192
- LinearPMapstatement and proof · cited by 179
- LinearPMap.graphstatement · cited by 39
- LinearPMap.le_of_le_graphproof · cited by 4
- LinearPMap.le_graph_of_leproof · cited by 3
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