Theorems · Theorem · linear algebra
Module.End.invtSubmodule.mk_eq_bot_iff
∀ {R : Type u_1} {M : Type u_2} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
(f : Module.End R M) {p : Submodule R M} (hp : p ∈ f.invtSubmodule), ⟨p, hp⟩ = ⊥ ↔ p = ⊥- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommMonoidModule
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- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Submodulestatement and proof · cited by 7,192
- Set.ofPredproof · cited by 6,101
- Bot.botstatement · cited by 4,720
- Module.Endstatement and proof · cited by 774
- Submodule.comapproof · cited by 347
- Sublatticestatement · cited by 225
- Module.End.invtSubmodulestatement and proof · cited by 93
- Subtype.mk_eq_bot_iffproof · cited by 4
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