Tape as int fun#170
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# Natural deduction for minimal logic This PR adds the definitions and basic properties of natural deduction for propositional logic. Key developments: - Definition of `Theory.Derivation`, the type of derivation trees. - Definitions of derivability and equivalence. - Operations on derivations: weakening, substitution and cut. --------- Co-authored-by: twwar <tom.waring@unimelb.edu.au> Co-authored-by: Kim Morrison <477956+kim-em@users.noreply.github.com> Co-authored-by: Claude <noreply@anthropic.com> Co-authored-by: Chris Henson <chrishenson.net@gmail.com> Co-authored-by: Shrys <shreyasss94@gmail.com> Co-authored-by: Chris Henson <46805207+chenson2018@users.noreply.github.com> Co-authored-by: Ching-Tsun Chou <chingtsun.chou@gmail.com> Co-authored-by: Fabrizio Montesi <famontesi@gmail.com> Co-authored-by: Maximiliano Onofre-Martínez <maxonomar@ciencias.unam.mx> Co-authored-by: Tristan F.-R. <pub.tristanf@gmail.com> Co-authored-by: euprunin <178733547+euprunin@users.noreply.github.com> Co-authored-by: euprunin <euprunin@users.noreply.github.com> Co-authored-by: kei <70096720+thelissimus@users.noreply.github.com> Co-authored-by: Juan Pablo Yamamoto <jpy051@uregina.ca> Co-authored-by: Alexandre Rademaker <arademaker@gmail.com> Co-authored-by: Clark Barrett <barrett@cs.stanford.edu> Co-authored-by: leanprover-community-mathlib4-bot <leanprover-community-mathlib4-bot@users.noreply.github.com> Co-authored-by: github-actions[bot] <41898282+github-actions[bot]@users.noreply.github.com> Co-authored-by: Xueying Qin <32066429+XYUnknown@users.noreply.github.com> Co-authored-by: Jesse Alama <jessealama@users.noreply.github.com> Co-authored-by: mathlib4-bot <github-mathlib4-bot@leanprover.zulipchat.com> Co-authored-by: milianoPhilosophyHub <maxonomar@outlook.com> Co-authored-by: Tanner Duve <122851174+tannerduve@users.noreply.github.com> Co-authored-by: Tanner Duve <tannerduve@gmail.com> Co-authored-by: leanprover-community-mathlib4-bot <129911861+leanprover-community-mathlib4-bot@users.noreply.github.com> Co-authored-by: ADA <120643053+ADA-Projects@users.noreply.github.com> Co-authored-by: Aristotle Harmonic <aristotle-harmonic@harmonic.fun> Co-authored-by: Sorrachai Yingchareonthawornchai <sorrachai.cp@gmail.com> Co-authored-by: Chris-F5 <60847556+Chris-F5@users.noreply.github.com> Co-authored-by: Garmelon <joscha@plugh.de> Co-authored-by: Arjun Bhamra <33864884+abhamra@users.noreply.github.com> Co-authored-by: Bolton Bailey <bolton.bailey@gmail.com> Co-authored-by: Benjamin Bisping <ben@mrkeks.net> Co-authored-by: Iván Renison <85908989+IvanRenison@users.noreply.github.com> Co-authored-by: Burkhardt Renz <esb-dev@users.noreply.github.com> Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Elimia <56419338+sehun1024@users.noreply.github.com> Co-authored-by: mathlib-nightly-testing[bot] <mathlib-nightly-testing[bot]@users.noreply.github.com> Co-authored-by: mathlib-nightly-testing[bot] <258991302+mathlib-nightly-testing[bot]@users.noreply.github.com> Co-authored-by: Eric Wieser <efw@google.com> Co-authored-by: WegmannDavid <147524946+WegmannDavid@users.noreply.github.com> Co-authored-by: Pieter Cuijpers <p.j.l.cuijpers@tue.nl> Co-authored-by: Marcelo Lynch <marcelomlynch@gmail.com> Co-authored-by: Kim Morrison <kim@tqft.net>
…eanprover#532) Prove a small result that is useful in a separate work.
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