Theorems · Theorem · logic and foundations
FirstOrder.Language.Equiv.symm_comp_self_toHom
∀ {L : FirstOrder.Language} {M : Type w} {N : Type w'} [inst : L.Structure M] [inst_1 : L.Structure N]
(f : L.Equiv M N), f.symm.toHom.comp f.toHom = FirstOrder.Language.Hom.id L M- Defined in
- Mathlib.ModelTheory.Basic
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- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
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- FirstOrder.Languagestatement and proof · cited by 1,084
- FirstOrder.Language.Structurestatement and proof · cited by 775
- FirstOrder.Language.Homstatement and proof · cited by 107
- FirstOrder.Language.Equivstatement and proof · cited by 83
- FirstOrder.Language.Equiv.symmstatement and proof · cited by 32
- FirstOrder.Language.Hom.compstatement · cited by 20
- FirstOrder.Language.Equiv.toHomstatement and proof · cited by 11
- FirstOrder.Language.Hom.idstatement and proof · cited by 10
- FirstOrder.Language.Equiv.refl_toHomproof · cited by 2
- FirstOrder.Language.Equiv.comp_toHomproof · cited by 2
- FirstOrder.Language.Equiv.symm_comp_selfproof · cited by 2
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